Question

Let y’’ + 5y’ + 6y = 0 a) Show that for any constants A and...

Let y’’ + 5y’ + 6y = 0

a) Show that for any constants A and B, y(x) = Ae^(-3x) + Be^(-2x) solves the differential equation.

b) For what values of A and B will
y(x) =Ae^(-3x) + Be^(-2x) solve the initial value problem y’’ + 5y’ + 6y = 0, y(0) = 0, and y’(0) = 9?

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