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The indicated functions are known linearly independent solutions of the associated homogeneous differential equation on (0, 0). Find the general solution of the given nonhomogeneous equation. x²y" + xy + (x²-1) = x³/2; Y1 = x-1/2 cos(x), y2 = x-1/2 sin(x) y(x) =

The indicated functions are known linearly independent solutions of the associated homogeneous differential equation on (0, 0). Find the general solution of the given nonhomogeneous equation. x²y" + xy + (x²-1) = x³/2; Y1 = x-1/2 cos(x), y2 = x-1/2 sin(x) y(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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The indicated functions are known linearly independent solutions of the associated homogeneous differential equation on (0, ∞). Find the general solution of the given nonhomogeneous equation. x²y + xy² + (x²-1) = x³/2; Y₁ = x=-1/2 cos(x), y/2x-1/2 sin(x) y(x) = Need Help? Read It
Transcribed Image Text:The indicated functions are known linearly independent solutions of the associated homogeneous differential equation on (0, ∞). Find the general solution of the given nonhomogeneous equation. x²y + xy² + (x²-1) = x³/2; Y₁ = x=-1/2 cos(x), y/2x-1/2 sin(x) y(x) = Need Help? Read It
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