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(Solved): help please  You solve a second order linear differential equation with constant coefficients a ...



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You solve a second order linear differential equation with constant coefficients and find its complimentary function \( y_{0}
You solve a second order linear differential equation with constant coefficients and find its complimentary function \( y_{0}(x)=A e^{x}+B e^{-2 x} \) and its particular solution \( y_{p}(x)=-x-\frac{1}{2} \). Apply the conditions \( y(0)=0 \) and \( y^{\prime}(0)=1 \) to determine the values of \( A \) and \( B \). What is the general solution?


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