Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for the solution. 8y' + y = 0; y = e-x/8 When y = e-x/8 y' = Thus, in terms of x, 8y' + y = + e-x/8
Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for the solution. 8y' + y = 0; y = e-x/8 When y = e-x/8 y' = Thus, in terms of x, 8y' + y = + e-x/8
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for the solution.
y = e-x/8
8y' + y = 0;
When y = e-x/8
y' =
Thus, in terms of x,
8y' + y =
+ e-x/8
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