Construct the general solution of the differential equation x 2d²y +x- + (x² - v²)y= sin x dy dr. dr.² State your method and explain why it works. Show your calculations.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Construct the general solution of the differential equation
r ² ď² y
dy
+x + (x² - v²)y = sin x
dx² dx
State your method and explain why it works.
Show your calculations.
Transcribed Image Text:Construct the general solution of the differential equation r ² ď² y dy +x + (x² - v²)y = sin x dx² dx State your method and explain why it works. Show your calculations.
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ISBN:
9780321964038
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Publisher:
Pearson Addison Wesley,