H4. Use the method of variation of parameters to find the general solution of dy -X- - 3y= 4x³. dr2
H4. Use the method of variation of parameters to find the general solution of dy -X- - 3y= 4x³. dr2
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...
Related questions
Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F986f6c25-9d5d-4e3f-93bc-35b073c4428b%2F75de851c-ebc3-4908-a2c6-aafa9adeefd4%2Fbsxv07k_processed.png&w=3840&q=75)
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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