Other Math Archive: Questions from August 01, 2022
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Solve the folleconin: - a) \( \quad \csc y d x+\sec ^{2} x d y=0 \) b) \( e^{x} y \frac{d y}{d x}=e^{-y}+e^{-2 x-y} \) c) \( \left\{\begin{array}{l}x^{2} y^{\prime}=y-x y \\ y(-1)=-1\end{array}\right.1 answer -
Solve using Laplace transforms \[ \begin{aligned} y^{\prime \prime}+5 y^{\prime}+6 y &=12 e^{t} \\ y(0) &=1 \\ y^{\prime}(0) &=0 \end{aligned} \]3 answers