Mechanical Engineering Archive: Questions from February 17, 2023
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Solve all the equations please
b. \( y^{\prime \prime}+5 y^{\prime}+\left(\frac{37}{2}\right) y=0, \quad y(0)=1, \quad y^{\prime}(0)=0 \) - Ans: \( y(x)=(5 / 7) e^{-\left(\frac{5}{2}\right) x} \sin \left(\frac{7}{2} x\right)+e^{-\l2 answers -
Solve for the equation
\[ y^{\prime \prime}+5 y^{\prime}+\left(\frac{37}{2}\right) y=0, y(0)=1, \quad y^{\prime}(0)=0 \] - Ans: \( y(x)=(5 / 7) e^{-\left(\frac{5}{2}\right) x} \sin \left(\frac{7}{2} x\right)+e^{-\left(\frac2 answers -
Solve the equation
\[ y^{\prime \prime}+9 y=3 e^{2 x}, y(0)=0, \quad y^{\prime}(0)=1 \] - Ans: \( y(x)=-\frac{3}{13} \cos (3 x)+\frac{7}{39} \sin (3 x)+\frac{3}{13} e^{2 x} \)2 answers -
Solve the second order ode
\[ y^{\prime \prime}+4 y^{\prime}+4 y=4 e^{-2 x} \] - Ans: \( y(x)=C_{1} e^{-2 x}+C_{2} x e^{-2 x}+2 x^{2} e^{-2 x} \)2 answers -
La estructura que se muestra está sujeta a una fuerza \( \mathrm{F}=383 \mathrm{~N} \) y \( \mathrm{P}=276 \mathrm{~N} \). determina la fuerza resultante interna en \( \mathrm{N} \) en el punto \( \m2 answers