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Beliebt Rechnen >

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

Lösung

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

Lösung

y = - \frac{e ^{x}}{- 1 + c _{1} e ^{x}}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{e ^{x}}{- 1 + c _{1} e ^{x}}

y = - \frac{e ^{x}}{- 1 + c _{1} e ^{x}}

Graph

Beliebte Beispiele

derivative y=14^{-8/x}

d er i v a t i v e y = 1 4^{- \frac{8}{x}}

derivative of sqrt(20+x)

\frac{d}{d x} (20 + x)

(\partial)/(\partial x)((xy-3)e^{-xy})

\frac{\partial}{\partial x} ((x y - 3) e^{- x y})

y^{''}-4y^'+3y=3x^2-5x+1

y^{^{''}} - 4 y^{^{'}} + 3 y = 3 x^{2} - 5 x + 1

integral of (4x^2+2)/(1+x^2)

\int \frac{4 x ^{2} + 2}{1 + x ^{2}} d x