Question
Suppose that the second order differential equation y + p(x)y' + g(x) y = f(x) has homogeneous solution yh = Ay (2) + By(x).
Suppose that the second order differential equation y" + p(x)y' + g(x) y = f(x) has homogeneous solution yh = Ay (2) + By(x). Then a particular solution is given by Yp(x) = -3(x) [ 2(2)(2) y2 f(x) (21 (12 (41(x) 32 (x) (3(x) y2(x), where W det - dx + 32 (x) / 1 (2) f(x) W(x) Use the method of variation of parameter to find a particular solution, up (x), of the non- homogeneous differential equation yp (x) = d y(x) + 10 (1 y(x)) + 26 y(x) = 2 e-5 sin (x), dz2 dr. Enter your answer in Maple syntax only the function defining up (x) in the box below. For example, if yp (2) = 3x, enter 3*x^2 POT
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Differential Equations and Linear Algebra
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
2nd edition
131860615, 978-0131860612
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