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(a) Given that y = sin x is a solution of find the general solution of the...

(a) Given that y = sin x is a solution of

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 is a particular solution of the nonhomogeneous equation.

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Solutions For Problems in Chapter 4.R
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