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Beliebt Rechnen >

y^'(e^x-1)ln(y)=y

Lösung

y^{^{'}} (e^{x} - 1) ln (y) = y

Lösung

y = e^{2 x + c_{1}}, y = e^{- 2 x + c_{1}}

Schritte zur Lösung

y^{'} (x) ln (y) = y

Solve separable ODE:

y = e^{2 x + c_{1}}, y = e^{- 2 x + c_{1}}

y = e^{2 x + c_{1}}, y = e^{- 2 x + c_{1}}

Graph

Beliebte Beispiele

tangent-(16)/((8x+9)^3)

t an g e n t - \frac{16}{( 8 x + 9 ) ^{3}}

(dy)/(dx)=(y^2+y)/(x^2+x)

\frac{d y}{d x} = \frac{y ^{2} + y}{x ^{2} + x}

fläche y=4x^2-1,y=0,x=(-1)/2 ,x=1

a re a y = 4 x^{2} - 1, y = 0, x = \frac{- 1}{2}, x = 1

integral of (x+25)/(x^2+24x+148)

\int \frac{x + 25}{x ^{2} + 24 x + 148} d x

integral of 1/2 e^{-1/2 x}

\int \frac{1}{2} e^{- \frac{1}{2} x} d x