In each of 1 through 5, verify that y1 and y2 are

Chapter 2, Problem 2.1

(choose chapter or problem)

In each of 1 through 5, 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) 2

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