H4. Use the method of variation of parameters to find the general solution of dy -X- - 3y= 4x³. dr2

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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h4

For each of the following initial value problems, find the general solution of the ODE and
the particular solution of the initial value problem.
d²y
H1.
dy
42+4y = e2*, y = –1 and
dr
dy
= -1 at x = 0.
dx
dx²
Н2. 2-
dr2
d²y
- 5+2y= 2x², y=7 and
dx
dy
= 1 at x = 0.
dx
d²y
H3.
dx2
7 dy 9y
x dx ' x?
dy
0; у %3D 0 and
dx
1 at x = 1.
H4. Use the method of variation of parameters to find the general solution of
+२
2d'y
dr2
dy
– 3y = 4x³.
dx
Transcribed Image Text:For each of the following initial value problems, find the general solution of the ODE and the particular solution of the initial value problem. d²y H1. dy 42+4y = e2*, y = –1 and dr dy = -1 at x = 0. dx dx² Н2. 2- dr2 d²y - 5+2y= 2x², y=7 and dx dy = 1 at x = 0. dx d²y H3. dx2 7 dy 9y x dx ' x? dy 0; у %3D 0 and dx 1 at x = 1. H4. Use the method of variation of parameters to find the general solution of +२ 2d'y dr2 dy – 3y = 4x³. dx
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