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Solve a Second Order ODE

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Find solution of y'' + 8y' = 896sin(8t) + 640cos(8t)
with y(0)= 4 and y'(0)=9

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A Second Order ODE is solved. The solution is detailed and well presented.

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Find solution of y'' + 8y' = 896sin(8t) + 640cos(8t)
with y(0)= 4 and y'(0)=9

(a) First we want to find a special solution to
y'' + 8y' = 896sin(8t) + 640cos(8t) (1)
Let y(t) = ...

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