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Beliebt Rechnen >

v(dv)/(dy)+v^2=2e^{-y}

Lösung

v \frac{d v}{d y} + v^{2} = 2 e^{- y}

Lösung

v = \frac{4}{e ^{y}} + \frac{c _{1}}{e ^{2 y}}, v = - \frac{4}{e ^{y}} + \frac{c _{1}}{e ^{2 y}}

Schritte zur Lösung

v \frac{d v}{d y} + v^{2} = 2 e^{- y}

Solve Bernoulli ODE:

v = \frac{4}{e ^{y}} + \frac{c _{1}}{e ^{2 y}}, v = - \frac{4}{e ^{y}} + \frac{c _{1}}{e ^{2 y}}

v = \frac{4}{e ^{y}} + \frac{c _{1}}{e ^{2 y}}, v = - \frac{4}{e ^{y}} + \frac{c _{1}}{e ^{2 y}}

Graph

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