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Question

The solution of a certain differential equation is of the form y(t)=ae^5t+be^10t, where a and b are constants.

The solution has initial conditions y(0)=2and y'(0)=2.

Find the solution by using the initial conditions to get linear equations for a and b

y(t)=y(t)= 18/5e^5t+18/5e^10tIncorrect this is what i got and is not correct

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Calculus

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