$$ \left. \begin{array} { l } { 100 \frac { d ^ { 2 } y ( t ) } { d t ^ { 2 } } + 5 \frac { d y ( t ) } { d t } + 4 y ( t ) = \frac { d x ( t ) } { d t } } \end{array} \right. $$

Question

Rodriquez Warren · Accepted Answer

The given equation is a second-order linear ODE. Solve the homogeneous part by finding the characteristic equation and its roots. Then, find the particular solution based on the form of $$ x(t) $$. The general solution is the sum of the homogeneous and particular solutions.

\( \left. \begin{array} { l } { 100 \frac { d ^ { 2 } y ( t ) } { d t ^ { 2 } } + 5 \frac { d y ( t ) } { d t } + 4 y ( t ) = \frac { d x ( t ) } { d t } } \end{array} \right. \)

Solución ThothAI de Upstudy

Respuesta rápida

Solución paso a paso

\( \left. \begin{array} { l } { 100 \frac { d ^ { 2 } y ( t ) } { d t ^ { 2 } } + 5 \frac { d y ( t ) } { d t } + 4 y ( t ) = \frac { d x ( t ) } { d t } } \end{array} \right. \)

Solución ThothAI de Upstudy

Respuesta rápida

Solución paso a paso

preguntas relacionadas