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In: Advanced Math

y = c1 cos(5x) + c2 sin(5x) is a two-parameter family of solutions of the second-order...

y = c1 cos(5x) + c2 sin(5x) is a two-parameter family of solutions of the second-order DE y'' + 25y = 0. If possible, find a solution of the differential equation that satisfies the given side conditions. The conditions specified at two different points are called boundary conditions. (If not possible, enter IMPOSSIBLE.)

y(0) = 1, y'(π) = 7

y =

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