Consider the initial value problem. y'' − y' = ex, y(0)=0, y'(0)=0 (a) [5 points] Write the general solu

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Consider the initial value problem.
y'' − y' = ex, y(0)=0,
y'(0)=0

(a) [5 points] Write the general
solution yc of the homogeneous version of the
equation.
(b) [11 points] Find a particular
solution yp by using the method
of Variation of Parameters.
(c) [7 points] Write the general solution of the equation by
combining (a) & (b). Then, use the initial conditions to
finally determine the solution of the initial value
problem.