y^{''}-3y^'+2y=4cos(4t)

Lösung

y^{^{''}} - 3 y^{^{'}} + 2 y = 4 cos (4 t)

y = c_{1} e^{2 t} + c_{2} e^{t} - \frac{12}{85} sin (4 t) - \frac{14}{85} cos (4 t)

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) + 2 y = 4 cos (4 t)

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{t} - \frac{12}{85} sin (4 t) - \frac{14}{85} cos (4 t)

y = c_{1} e^{2 t} + c_{2} e^{t} - \frac{12}{85} sin (4 t) - \frac{14}{85} cos (4 t)

\int_{0}^{0.6} 250 x d x

\int - 2 sin (2 t) d t

d er i v a t i v e ln (x^{61})

\frac{d}{d x} (\frac{5 x}{x ^{2} + 5})

\int_{0}^{\frac{π}{2}} sin^{2} (2 x) d x