Other Math Archive: Questions from July 29, 2022
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Solve the equation explicitly for \( y \). \[ y^{\prime \prime}+9 y=10 e^{2 t}, y(0)=-1, y^{\prime}(0)=1 \] \[ \begin{array}{l} y=-\frac{2}{3} \cos (3 t)-\frac{1}{3} \sin (3 t)-\frac{1}{3} e^{2 t} \\3 answers -
Problem 8. (10 Marks) Solve the linear system of ODE \[ \begin{array}{c} x^{\prime}=x+y \\ y^{\prime}=4 x+y \end{array} \]1 answer