Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for the solution. 4y' + y = 0; y = e-x/4 When y = e-x/4 y' = Thus, in terms of x, 4 (- - 0 - ( ³ ) ) ) 4y' + y = 4- 0 Need Help? Read It

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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.
4y' + y = 0; y = e-x/4
When y = e-x/4
y' =
Thus, in terms of x,
-())
4y' + y = 4-
+ e-x/4
0
Need Help?
Read It
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. 4y' + y = 0; y = e-x/4 When y = e-x/4 y' = Thus, in terms of x, -()) 4y' + y = 4- + e-x/4 0 Need Help? Read It
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