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Beliebt Rechnen >

(dy)/(dt)+y=sin(t)

Lösung

\frac{d y}{d t} + y = sin (t)

Lösung

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

Schritte zur Lösung

\frac{d y}{d t} + y = sin (t)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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\int 2 sec^{2} (x) tan (x) d x

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\frac{d}{d x} (x \cdot e^{- \frac{1}{x ^{2}}})