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/9 9y' + y = 0; When y = e-x/9 y' = Thus, in terms of x, 9y' + y = te -x/9

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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/9
9y' + y = 0;
When y = e-x/9
y' =
Thus, in terms of x,
9y' + y =
=
+ex/9
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/9 9y' + y = 0; When y = e-x/9 y' = Thus, in terms of x, 9y' + y = = +ex/9
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