Consider the differential equation y" + 3y - 10y=-100x. Find the general solution for the associated homogeneous differential equation. Using that yp = 10x+3 is a particular solution to the nonhomogeneous equation, se your answer to part (a) to find a solution to the initial value problem y" + 3y - 10y=-100x, y(0) = 1, y'(0) = −8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
3.
a.
b.
Consider the differential equation
y" + 3y - 10y = −100x.
Find the general solution for the associated homogeneous differential equation.
Using that yp
10x + 3 is a particular solution to the nonhomogeneous equation,
use your answer to part (a) to find a solution to the initial value problem
=
y" + 3y - 10y = −100x, y(0) = 1, y′ (0) = −8
Transcribed Image Text:3. a. b. Consider the differential equation y" + 3y - 10y = −100x. Find the general solution for the associated homogeneous differential equation. Using that yp 10x + 3 is a particular solution to the nonhomogeneous equation, use your answer to part (a) to find a solution to the initial value problem = y" + 3y - 10y = −100x, y(0) = 1, y′ (0) = −8
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