Use variation of parameters to find a particular solution, given the solutions y 1, 2 of the complementary equation Y sin(x)y'' + (2 sin(x) - cos(x))y' + (sin(x) = cos(x))y=e=ª I Y₁ = e = ¹, Y₂ = e cos(x) Yp yp (x) =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use variation of parameters to find a particular solution,
given the solutions y 1, y 2 of the complementary equation
sin(x)y'' + (2 sin(x) = cos(x))y' + (sin(x) = cos(x))y = e¯ª
-
Y1 = e
Y2 = e cos(x)
3
Yp
yp (x) =
Transcribed Image Text:Use variation of parameters to find a particular solution, given the solutions y 1, y 2 of the complementary equation sin(x)y'' + (2 sin(x) = cos(x))y' + (sin(x) = cos(x))y = e¯ª - Y1 = e Y2 = e cos(x) 3 Yp yp (x) =
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