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Construct the particular solution to the homogenoeus linear second order ODE d 2x dt2 + 10 dx dt + 50x = 0, subject to

Construct the particular solution to the homogenoeus linear second order ODE d 2x dt2 + 10 dx dt + 50x = 0, subject to initial conditions x(0) = -13, dx dt (0) = 0. Find the value of x at t = 3/5.

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