Apply the variation of parameters formula in (33) to find the particular solution y p (x) =
Question:
Apply the variation of parameters formula in (33) to find the particular solution yp (x) = -x cos x of the nonhomogeneous equation y'' + y = 2 sin x.
Transcribed Image Text:
Yp(x) = -y₁ (x) x ) [ ³2 (x)( f(x) - dx + y₂(x) of ³1 (x) f(x) W(x) dx, (33)
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Here we have yx cos x y x sinx Wx1 and fx2 sinx so 33 gives y x cos x si...View the full answer
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Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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