y^{''}+6y^'+5y=-3te^{(4t)}

Lösung

y^{^{''}} + 6 y^{^{'}} + 5 y = - 3 t e^{(4 t)}

y = c_{1} e^{- t} + c_{2} e^{- 5 t} - \frac{e ^{4 t} t}{15} + \frac{14}{675} e^{4 t}

Schritte zur Lösung

y^{''} (t) + 6 y^{'} (t) + 5 y = - 3 t e^{(4 t)}

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} e^{- 5 t} - \frac{e ^{4 t} t}{15} + \frac{14}{675} e^{4 t}

y = c_{1} e^{- t} + c_{2} e^{- 5 t} - \frac{e ^{4 t} t}{15} + \frac{14}{675} e^{4 t}

\int 2 x - 3 x - x^{4} d x

\frac{\partial}{\partial x} (- \frac{x}{x ^{2} + y ^{2}})

\int 5 cos (x) - 4 sin (x) d x

d er i v a t i v e y = 4 (cos (x))^{3}

\frac{d}{d x} ((2 x + 3)^{2})