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Beliebt Rechnen >

93.25v^'+v=0.001t,v(0)=0

Lösung

93.25 v^{^{'}} + v = 0.001 t, v (0) = 0

Lösung

v = \frac{0.00001 \dots ( 93.25 t - 8695.56250 \dots )}{e ^{1.2332 E - 14 t}} + \frac{0.09325}{e ^{0.01072 \dots t}}

Schritte zur Lösung

93.25 v^{'} (t) + v = 0.001 t

Solve linear ODE:

v = \frac{0.00001 \dots ( 93.25 t - 8695.56250 \dots )}{e ^{1.2332 E - 14 t}} + \frac{0.09325}{e ^{0.01072 \dots t}}

v = \frac{0.00001 \dots ( 93.25 t - 8695.56250 \dots )}{e ^{1.2332 E - 14 t}} + \frac{0.09325}{e ^{0.01072 \dots t}}

Graph

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