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Verify that y 1 and y 2 are solutions of the homogeneous differential equation, calculate the Wronskian of these solutions, write the general solution, and

Verify that y1 and y2 are solutions of the homogeneous differential equation, 

calculate the Wronskian of these solutions, write the general solution, and solve the initial value problem.

y″ +36y = 0; y(0) = −5, y′(0) = 2

y1(x) = sin(6x), y2(x) = cos(6x)

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