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Beliebt Rechnen >

(dy)/(dt)=sin(3t)-2y

Lösung

\frac{d y}{d t} = sin (3 t) - 2 y

Lösung

y = - \frac{3 cos ( 3 t )}{13} + \frac{2 sin ( 3 t )}{13} + \frac{c _{1}}{e ^{2 t}}

Schritte zur Lösung

\frac{d y}{d t} = sin (3 t) - 2 y

Solve linear ODE:

y = - \frac{3 cos ( 3 t )}{13} + \frac{2 sin ( 3 t )}{13} + \frac{c _{1}}{e ^{2 t}}

y = - \frac{3 cos ( 3 t )}{13} + \frac{2 sin ( 3 t )}{13} + \frac{c _{1}}{e ^{2 t}}

Graph

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