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КОНТРОЛЬНАЯ РАБОТА 2 Задача 1

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КОНТРОЛЬНАЯ РАБОТА №2

Задача 1. Вычислить определенные интегралы.

1)

1.      2.               3.

4.              5.       6.

7.   8.   9.

10.       11.           12.

    13.    14.             15.

16.   17.        18.

19.            20.            21.

22.                          23.                             24.

25.       26.         27.

     28.                   29.                          30.

31.        32.        33.                      34.  35.            36.           

2)

1.      2.              3.

4.                    5.              6.

7.         8.               9.

10.                11.                  12.

    13.       14.                      15.

16.              17.                    18.

19.                 20.                 21.

22.                  23.                24.

25.   26.              27.

     28.   29.                       30.

31.     32.         33.               34.

35.                36.                  

Задача 2. Вычислить площади фигур, ограниченных графиками функций.

1.                                      2.

3.                                      4.

5.                       6.

7.          8.

9.             10.

11.                                  12.

13.              14.

15.                          16.

17.                       18.

19.                             20.

21.                             22.

23.                       24.

25.          26.

27.            28.

29.                           30.

31.

32.                                      33.

34.                                      35.

36.                       

Задача 3.

Найти общее решение дифференциального уравнения первого порядка.

1) Уравнение с разделяющимися переменными

1.                                              2.                           

3.                           

4.                               

5.                            6.                         

7.                               

8.                                          

9.                           10.                          11.                              

12.                              

13.                     14.                   

     15.                              16.                                             17.                 18.                                             

19.                                           20.                            

21.                           22.                                    

23.                                            24.                         

25.                          26.                         

27.                                            28.                        

29.                              30.                           

31.

32.                              

33.                     34.                   

     35.                              36.                                             

2) Однородное уравнение .

1.                                              2.                                             

3.                                                          

4.                                              5.                                               6.                                               

7.                                                        

8.                                               9.                                            

10.                                          

11.                                         

12.                                          13.                                          

14.                                              15.                                               

16.                                          17.                                        

18.                                       

 19.                                       

 20.                                        21.                                         

 22.                                        

23.                                          24.                                           25.                                          26.                                         

27.                                          28.                                         29.                                          30.                                        31.              

32.                                              33.                                             

34.                                                          

35.                                              36.                                                          

3)  Найти решение задачи Коши (линейное уравнение).

1.                                              2.                                              3.                                 4.                                              5.                                  6.                                           

7.                                      8.                                               9.                                              10.                                           11.                                      12.                                           13.                                           14.                                              15.                                           16.                                           17.                                           18.                                           19.                                                        20.                                            21.                                            22.                                           23.                                       24.                                                25.                                             26.                                                  27.                                                28.                                                29.                                         30.                                                  31.        

32.                                          33.                                           34.                                                        35.                                            36.                                            

Задача 4. Найти общие решения дифференциальных уравнений высших порядков.

1) Линейное дифференциальное уравнение с постоянными коэффициентами

1.                                   

2.                                              

3.                                               

4.                                              5.                                               

6.                                               7.                                               8.                                              

9.                                                         

10.                                          11.                                         

12.                                          13.                                            

14.                                              15.                                               16.                                          17.                                        18.                                        19.                                        20.                                        21.                                          22.                                        23.                                          24.                                                  25.                                          26.                                          27.                                          28.                                         29.                                          30.                                        31.                                                             

32.                                               33.                                               34.                                              

35.                                                         

36.                                          

2) Линейное дифференциальное уравнение с постоянными коэффициентами.

1.                                   2.                                              3.                                               4.                                              5.                                               6.                                               7.                                               8.                                               9.                                            10.                                          11.                                         12.                                          13.                                          14.                                              15.                                               16.  

17.                                   18.                                              19.                                               20.                                              21.                                               22.                                               23.                                               24.                                               25.                                            26.                                          27.                                         28.                                          29.                                          30.                                              31.  

32.                                               33.                                               34.                                               35.                                               36.                                                         




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