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Beliebt Rechnen >

e^{-12t}f+12e^{-12t}f^'=-4e^{-14t}

Lösung

e^{- 12 t} f + 12 e^{- 12 t} f^{^{'}} = - 4 e^{- 14 t}

Lösung

f (t) = \frac{4}{23 e ^{2 t}} + \frac{c _{1}}{e ^{\frac{t}{12}}}

Schritte zur Lösung

e^{- 12 t} f (t) + 12 e^{- 12 t} f^{'} (t) = - 4 e^{- 14 t}

Solve linear ODE:

f (t) = \frac{4}{23 e ^{2 t}} + \frac{c _{1}}{e ^{\frac{t}{12}}}

f (t) = \frac{4}{23 e ^{2 t}} + \frac{c _{1}}{e ^{\frac{t}{12}}}

Graph

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