a. Verify that the indicated family of functions is a solution of the given differential equation. d²y dy + 9y = 0 ; y= cqe3x + c2xe³x ; [-∞,∞0]. - dx2 b. Find the solution of IVP with y(0) = 2 and y'(0) = 0.
a. Verify that the indicated family of functions is a solution of the given differential equation. d²y dy + 9y = 0 ; y= cqe3x + c2xe³x ; [-∞,∞0]. - dx2 b. Find the solution of IVP with y(0) = 2 and y'(0) = 0.
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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Please solve questions a and b
![a. Verify that the indicated family of functions is a solution of the given
differential equation.
d²y
dy
+ 9y = 0 ; y = c,e3x + C2xe³* ; [-∞,∞0].
[-00, c0].
dx2
dx
b. Find the solution of IVP with y(0) = 2 and y'(0) = 0.
||](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63c81cc2-10ee-4f29-8ace-8d893d334c4f%2F330c93ac-6865-4717-851b-2a2e605d701b%2Fwv26j8r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a. Verify that the indicated family of functions is a solution of the given
differential equation.
d²y
dy
+ 9y = 0 ; y = c,e3x + C2xe³* ; [-∞,∞0].
[-00, c0].
dx2
dx
b. Find the solution of IVP with y(0) = 2 and y'(0) = 0.
||
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