The given family of functions is the general solution of the differential equation on the indicated interval. Find a member of the family that is a solution of the initial value problem.
y = c1e^4x + c2e^-x, (-inf, inf); y'' - 3y' - 4y = 0, y(0) = 1, y'(0)=3
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The given family of functions is the general solution of the differential equation on the indicated interval. Find a member of the family that is a solution of the initial value problem.
y = c1e^4x + c2e^-x, (-inf, inf); y'' - 3y' - 4y = 0, y(0) = 1, y'(0)=3
