Question: For which values of c_1 and c_2does the solution y(x) = c_1e^(6x) + c_2 e^(-6x) to the differential equation y'' - 36y = 0 satisfy
For which values of c_1 and c_2does the solution y(x) = c_1e^(6x) + c_2 e^(-6x) to the differential equation y'' - 36y = 0 satisfy the initial conditions y(0) = 3, y'(0) = 6?
In answer box 1, provide the value of c_1. In answer box 2, provide the value of c_2.
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