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Beliebt Rechnen >

(dx)/(dt)=sin(2t)-3x

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

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