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For Exercises 1-4 below, (a) verify that y1 and y2 satisfy the given second-order equation, and...

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Advance Math

For Exercises 1-4 below, (a) verify that y1 and y2 satisfy thegiven second-order equation, and (b) find the solution satisfyingthe given initial conditions (I.C.).


2. y′′−3y′+2y=0; y1(x)=e^x,y2(x)=e^2x. I.C.y(0)=0,y′(0)=−1.
3. y′′−2y′+y=0; y1(x)=e^x,y2(x)=xe^x. I.C.y(0)=1,y′(0)=3.

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