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. y(x) = x²y" + xy + y = sec(In(x)); Y₁ = cos(In(x)), Y₂ = sin(In(x)) X
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. y(x) = x²y" + xy + y = sec(In(x)); Y₁ = cos(In(x)), Y₂ = sin(In(x)) X
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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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.
y(x) =
x²y" + xy' + y = sec(In(x));
Y1 = cos(In(x)), Y₂ = sin(In(x))
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