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Given the following non-homogeneous differential equation x³y +x²y"-2xy' +2y=x-². answer all of the following: 1- Give the order of the DE. 2- Solve for the general solution of the DE. 3- Give the name of the method you used to solve (Undetermined coefficients method, Variation of parameters method, .... )

Given the following non-homogeneous differential equation x³y +x²y"-2xy' +2y=x-². answer all of the following: 1- Give the order of the DE. 2- Solve for the general solution of the DE. 3- Give the name of the method you used to solve (Undetermined coefficients method, Variation of parameters method, .... )

Advanced Engineering Mathematics
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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Given the following non-homogeneous differential equation x³y""+x?y"-2xy' +2y=x2. answer all of the following: 1- Give the order of the DE. 2- Solve for the general solution of the DE. 3- Give the name of the method you used to solve (Undetermined coefficients method, Variation of parameters method, ..)
Transcribed Image Text:Given the following non-homogeneous differential equation x³y""+x?y"-2xy' +2y=x2. answer all of the following: 1- Give the order of the DE. 2- Solve for the general solution of the DE. 3- Give the name of the method you used to solve (Undetermined coefficients method, Variation of parameters method, ..)
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