diferential equations, Civil Engineering

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show that Y = 4e2x - 2e-3x is a solution of initial-value problem (d2y)/(dx2)+ (dy)/(dx) - 6y=0 ; y(0)=6 ; y’(0)=2 . is Y = 2e2x - 4e-3x also a solution of this problem? explain why or why not

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