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The following are solutions to homogeneous linear differential equations. Obtain the corresponding differential equation with real,...

The following are solutions to homogeneous linear differential equations. Obtain the corresponding differential equation with real, constant cocfficients that is satisfied by the given function:
a) y=4e^2x+3e^-x
b) y=x^2-5sin3x
c) y=-2x+1/2e^4x
d) y=xe^-xsin2x+3e^-xcos2x
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