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Beliebt Rechnen >

y^'+2/3 y=1-1/2 t

Lösung

y^{^{'}} + \frac{2}{3} y = 1 - \frac{1}{2} t

Lösung

y = \frac{3}{2} - \frac{3 ( 2 t - 3 )}{8} + \frac{c _{1}}{e ^{\frac{2 t}{3}}}

Schritte zur Lösung

y^{'} (t) + \frac{2}{3} y = 1 - \frac{1}{2} t

Solve linear ODE:

y = \frac{3}{2} - \frac{3 ( 2 t - 3 )}{8} + \frac{c _{1}}{e ^{\frac{2 t}{3}}}

y = \frac{3}{2} - \frac{3 ( 2 t - 3 )}{8} + \frac{c _{1}}{e ^{\frac{2 t}{3}}}

Graph

Beliebte Beispiele

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