1. Solve the initial value problems
a.) y\"-10y'+25y=e^5x, y(0)= 1 and y'(0)= 6
b.) y\"+y'-2y=2sin(x), y(0)= 1 and y'(0)= 2
c.) y\"+14y'+49y=0, y(0)= -1 and y'(0)= 9
2. Find a two-parameter family of solutions to the followingdifferential equations
a.) y\"-3y'-10y=14e^-2x
b.) y\"-6y'+25y=0
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