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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

Calculus For The Life Sciences
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 5E
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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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