d² y dx² 2 −9y=x, y(0) = 0, y'(0) = 5
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
C
Transcribed Image Text:**Solve the differential equation subject to the given conditions.**
a) \(\frac{d^2 y}{dx^2} - 2\frac{dy}{dx} + y = 10, \quad y(0) = 2, \quad y'(0) = 3\)
b) \(\frac{d^2 y}{dx^2} + 9y = \cos(3x), \quad y(0) = 3, \quad y'(0) = 1\)
c) \(\frac{d^2 y}{dx^2} - 9y = x, \quad y(0) = 0, \quad y'(0) = 5\)
d) \(\frac{d^2 y}{dx^2} + 4\frac{dy}{dx} + 4y = \frac{\ln x}{e^{2x}}, \quad y(4) = 0, \quad y'(4) = 1\)
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Step 1: Write the given ODE
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