Ty’+2y = 4t-8t2+7 Then find the particular solution that satisfies the initial value y(1)=5.3 μ(t)= General Solution: Particular Solution:
Ty’+2y = 4t-8t2+7 Then find the particular solution that satisfies the initial value y(1)=5.3 μ(t)= General Solution: Particular Solution:
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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Question
Find the integrating factor and use it to find the general solution for the following differential equation:
Ty’+2y = 4t-8t2+7
Then find the particular solution that satisfies the initial value y(1)=5.3
μ(t)=
General Solution:
Particular Solution:
Expert Solution
Step 1
The given differential equation is-
ty'+2y=4t-8t2+7
Therefore y'+(2y/t)=(4t-8t2+7)/t
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