Other Math Archive: Questions from October 21, 2022
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2 answers
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0 answers
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olve \( \frac{d x}{d t}=-\omega y-k x ; \frac{d y}{d t}=\omega x-k y \) [2] \[ x=x(t), \quad y=y(t), \quad x(0)=1, \quad y(0)-0 \]2 answers -
solve IVP
\( \left.\begin{array}{l}\text { 2. } x^{2} y^{\prime \prime}-2 x y+2 y=x^{2} \\ x=1: y \& y^{\prime}=0\end{array}\right\} \)2 answers -
solve BVP
\( \left.\begin{array}{l}y^{\prime \prime}+2 y^{\prime}+y=x \\ y(0)=-3, y(1)=-1\end{array}\right\} \)0 answers -
2 answers
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Solve differential equations using Laplace's method.
\[ \begin{array}{l} 1 . y^{\prime}+6 t=e^{4 t}, y(0)=2 \\ 2 \cdot y^{\prime \prime}+6 y^{\prime}+4 y=0, y(0)=1, y^{\prime}(0)=0 \\ 3 . y^{\prime}+t=e^{5 t}, y(0)=1 \\ 4 . y^{\prime \prime}-5 y^{\prime0 answers -
The answer has to be in Spanish.
Describa en sus propias palabras el método que usted utilizaría para hallar la transformada de Laplace de la primera derivada, o sea, . De 2 ejemplos.0 answers