Other Math Archive: Questions from February 18, 2023
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Use Laplace transforms to solve the initial value problems \[ \begin{array}{l} y^{\prime \prime}-6 y^{\prime}+5 y=29 \cos 2 t, \quad y(0)=3.2, \quad y^{\prime}(0)=6.2 \\ y^{\prime \prime}+7 y^{\prime}2 answers -
6. An explicit solution of \( y^{\prime}=y^{2}-1 \) is A. \( y=\frac{C e^{2 t}}{1-C e^{2 t}} \) B. \( y=\frac{1+C e^{2 t}}{1-C e^{2 t}} \) C. \( y=\frac{1}{1-C e^{2 t}} \) D. \( y=\frac{1+C e^{2 t}}{12 answers -
6. An explicit solution of \( y^{\prime}=y^{2}-1 \) is A. \( y=\frac{C e^{2 t}}{1-C e^{2 t}} \) B. \( y=\frac{1+C e^{2 t}}{1-C e^{2 t}} \) C. \( y=\frac{1}{1-C e^{2 t}} \) D. \( y=\frac{1+C e^{2 t}}{12 answers -
Consider the following graph of \( y(x) \) 1. \( y^{\prime}=y \sin (4 x) \) 2. \( y^{\prime}=-y \sin (2 x) \) 3. \( y^{\prime}=y \sin (x) \) 4. \( y^{\prime}=y \sin (2 x) \) 5. \( y^{\prime}=y \cos (22 answers