Calculus Archive: Questions from December 29, 2022
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determine function
\( |A-\lambda I|=\left|\begin{array}{cc}\cos \theta-\lambda & -\sin \theta \\ \sin \theta & \cos \theta-\lambda\end{array}\right| \)2 answers -
Solve the following differential equations. 1. \( y^{\prime \prime}-5 y^{\prime}+6 y=0 \) 2. \( y^{\prime \prime}-y^{\prime}-12 y=0, y(0)=3, y^{\prime}(0)=5 \) 3. \( y^{\prime \prime}-3 y^{\prime}+2 y2 answers