Advanced Math Archive: Questions from April 10, 2023
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Use the Laplace transform to solve the initial value problems: 1. \[ \begin{array}{ll} y^{\prime \prime}+4 y^{\prime}+5 y=e^{-t}(\cos t+3 \sin t), & y(0)=0, y^{\prime} \\ \text { 2. } y^{\prime \prime0 answers -
i need clear process pls
Find the derivative of \( y=\tan \left(\cos \left(x^{2}\right)\right) \). Select one: a. \( \sec ^{2}(-\sin (2 x)) \) b. \( \sec ^{2}\left(-2 x \sin \left(x^{2}\right)\right) \) c. \( 2 x \cos \left(x2 answers -
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Solve the following \( \mathrm{DE} \) : \[ \backslash\left(y^{\prime \prime}=5\left[\left(y^{\prime}\right)^{\wedge} 2+1\right] \backslash\right) \]2 answers -
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Solve the following DE: \[ y^{\prime \prime}=5\left[\left(y^{\prime}\right)^{2}+1\right] \]2 answers -
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Solve the following DE: \[ y^{\prime \prime}=6\left[\left(y^{\prime}\right)^{2}+1\right] \]2 answers -
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solve 1&3 please
In Problems 1-14, solve the given initial value problem using the method of Laplace transforms. 1. \( y^{\prime \prime}-2 y^{\prime}+5 y=0 ; \quad y(0)=2, \quad y^{\prime}(0)=4 \) 2. \( y^{\prime \pri2 answers -
Detallar procedimiento... Hallar la solucion general de este problema de valor inicial usando el metodo de coeficientes indeterminados.
Hallar la solución general de este problema de valor inicial usando el método de coeficientes indeterminados. \[ y^{\prime \prime}-a y^{\prime}=b x e^{c x}, y(0)=0, y^{\prime}(0)=0 \] Usar tus valor2 answers -
Detallar procedimiento... Hallar la solucion de este problema de valor inicial usando el metodo de variacion de parametros
Hallar la solución de este problema de valor inicial usando el método de variación de parámetros. \[ y^{\prime \prime}+a^{2} y=b \cos (a x), y(0)=0, y^{\prime}(0)=0 \] Usar tus valores de los parÃ2 answers -
please solve question 15&17
In Problems 15-24, solve for \( Y(s) \), the Laplace transform of the solution \( y(t) \) to the given initial value problem. 15. \( y^{\prime \prime}-3 y^{\prime}+2 y=\cos t ; \quad y(0)=0 \), \( \qu2 answers -
13. \( y^{(4)}+5 y^{\prime \prime}+4 y=1-u_{\pi}(t) ; \quad y(0)=0, \quad y^{\prime}(0)=0, \quad y^{\prime \prime}(0)=0, \quad y^{\prime \prime \prime}(0)=0 \)2 answers -
5. Differentiate (a) \( y=\frac{1}{t} \), (b) \( y=\sin (2 x+\pi) \), (c) \( y=\sin (2 t)+3 \cos (2 t)-t \), (d) \( y=\sqrt{x}+\ln (x) \)2 answers -
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Solve the differential equations
Resuelva las siguientes ecuaciones diferenciales: a. \( y^{\prime \prime}-2 y^{\prime}+y=\operatorname{sen}(x) \) b. \( y^{\prime \prime}+2 y^{\prime}+y=e^{t} \arctan (t) \) c. \( y^{\prime \prime}-32 answers -
Solve the following IVP: \( \left\{\begin{array}{l}y^{\prime \prime}+y=6 t^{2}+3 \\ y(0)=-2 \\ y^{\prime}(0)=5 .\end{array}\right. \)2 answers -
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