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1.) The indicated functions are known linearly independent solutions of the associated homogeneous differential equation on (0,00). Find the general solution of the given nonhomogeneous equation by variation of parameters. **y*+/+ (x²-1)=x* x²y". '+xy' 2-3/2 cosx, y, = x-|2sinx .-1/2 3₁ = x

1.) The indicated functions are known linearly independent solutions of the associated homogeneous differential equation on (0,00). Find the general solution of the given nonhomogeneous equation by variation of parameters. **y*+/+ (x²-1)=x* x²y". '+xy' 2-3/2 cosx, y, = x-|2sinx .-1/2 3₁ = x

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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1.) The indicated functions are known linearly independent solutions of the associated homogeneous differential equation on (0,00). Find the general solution of the given nonhomogeneous equation by variation of parameters. (x²-1)=x*² 2-3/2 x²y" + xy' + x² -1/2 3₁ = x cosx, y, = x-|2sinx
Transcribed Image Text:1.) The indicated functions are known linearly independent solutions of the associated homogeneous differential equation on (0,00). Find the general solution of the given nonhomogeneous equation by variation of parameters. (x²-1)=x*² 2-3/2 x²y" + xy' + x² -1/2 3₁ = x cosx, y, = x-|2sinx
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