6. Solve the IVP. y" - 8y' + 15y = 9te² y(0) = -1, y'(0) = 3 7. 8. Find the general solution of the ODE. x2y" -2y3x2 - 1 x>0 Find the general solution of the ODE. y"+2y-24y: = 12x+9e4x 9. Solve the IVP. y" + 12y" + 36y' = 0 y(0) = 0, y'(0) = 1, y"(0) = -7 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6.
Solve the IVP.
y" - 8y' + 15y = 9te²
y(0) = -1, y'(0) = 3
7.
8.
Find the general solution of the ODE.
x2y" -2y3x2 - 1
x>0
Find the general solution of the ODE.
y"+2y-24y: = 12x+9e4x
9.
Solve the IVP.
y" + 12y" + 36y' = 0
y(0) = 0, y'(0) = 1, y"(0) = -7
1
Transcribed Image Text:6. Solve the IVP. y" - 8y' + 15y = 9te² y(0) = -1, y'(0) = 3 7. 8. Find the general solution of the ODE. x2y" -2y3x2 - 1 x>0 Find the general solution of the ODE. y"+2y-24y: = 12x+9e4x 9. Solve the IVP. y" + 12y" + 36y' = 0 y(0) = 0, y'(0) = 1, y"(0) = -7 1
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