(a) Given that y = sin x is a solution of y (4) + 2y''' + 11y''...
Question:
(a) Given that y = sin x is a solution of
y(4) + 2y''' + 11y'' + 2y' + 10y = 0,
find the general solution of the DE without the aid of a calculator or a computer.
(b) Find a linear second-order differential equation with constant coefficients for which y1 = 1 and y2 = e-x are solutions of the associated homogeneous equation and yp = 1/2x2 - x is a particular solution of the nonhomogeneous equation.
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Step by Step Answer:
a To show that y sin x is a solution of the given differential equation we need to substitute y sin ...View the full answer
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Related Book For 
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
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