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

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.CR: Chapter 11 Review
Problem 34CR
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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.
y(x) =
x²y" + xy' + y = sec(In(x));
Y1 = cos(In(x)), Y₂ = sin(In(x))
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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)) Need Help? X Read It
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,