Download presentation

Presentation is loading. Please wait.

Published byRebecca Platt Modified about 1 year ago

1

2

3
1.Introducción 2.Casos simples de reducción del orden 3.Ecuaciones lineales homogéneas con coeficientes constantes 4.Ecuaciones lineales no homogéneas con coeficientes constantes 5.Ecuaciones lineales no homogéneas con coeficientes variables 6.El método de las series de potencias

4

5

6

7

8

9

10

11
We emphasize that it is not particularly important if we are unable to determine the general coefficient an in terms of a0 and a1. What is essential is that we can determine as many coefficients as we want. Thus we can find as many terms in the two series solutions as we want, even if we cannot determine the general term. While the task of calculating several coefficients in a power series solution is not difficult, it can be tedious. A symbolic manipulation package can be very helpful here; some are able to find a specified number of terms in a power series solution in response to a single command. Elementary Differential Equations and Boundary Value Problems. Ninth edition. William E. Boyce &Richard C. DiPrima

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

37

38

39

40

41

42

43

44

45

46

47

48

49

50
We emphasize that it is not particularly important if we are unable to determine the general coefficient an in terms of a0 and a1. What is essential is that we can determine as many coefficients as we want. Thus we can find as many terms in the two series solutions as we want, even if we cannot determine the general term. While the task of calculating several coefficients in a power series solution is not difficult, it can be tedious. A symbolic manipulation package can be very helpful here; some are able to find a specified number of terms in a power series solution in response to a single command. Elementary Differential Equations and Boundary Value Problems. Ninth edition. William E. Boyce &Richard C. DiPrima

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

Similar presentations

© 2016 SlidePlayer.com Inc.

All rights reserved.

Ads by Google