Find the particular solution of the differential equation x²y" + 8xy' +12y = 1x 4 y'(1) = 42. satisfying the initial conditions y(1) = -12, Answer: y(x) = Your answer should be a function of a. (x > 0)
Find the particular solution of the differential equation x²y" + 8xy' +12y = 1x 4 y'(1) = 42. satisfying the initial conditions y(1) = -12, Answer: y(x) = Your answer should be a function of a. (x > 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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Transcribed Image Text:Find the particular solution of the differential equation
-4
x²y" + 8xy' +12y = 1x4 (x > 0)
y' (1) = 42.
satisfying the initial conditions y(1) = -12,
Answer: y(x)
Your answer should be a function of a.
Expert Solution
Step 1: We write what we have to find out
We have to solve the differential equation.
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