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Beliebt Rechnen >

y^'=(y^3)/(e^x),y(0)=-1

Lösung

y^{^{'}} = \frac{y ^{3}}{e ^{x}}, y (0) = - 1

Lösung

y = - - \frac{e ^{x}}{- 2 + e ^{x}}

Schritte zur Lösung

y^{'} (x) = \frac{y ^{3}}{e ^{x}}

Solve separable ODE:

y = - - \frac{e ^{x}}{- 2 + e ^{x}}

y = - - \frac{e ^{x}}{- 2 + e ^{x}}

Graph

Beliebte Beispiele

(dy)/(dx)=(4-y)^5

\frac{d y}{d x} = (4 - y)^{5}

(1+x^2)(dy)/(dx)=2xy+x^2+x^4

(1 + x^{2}) \frac{d y}{d x} = 2 x y + x^{2} + x^{4}

integral of 1/((1+e^x))

\int \frac{1}{( 1 + e ^{x} )} d x

inverselaplace (-2)/((s+1)(s+2))

in v erse l a pl a ce \frac{- 2}{( s + 1 ) ( s + 2 )}

limit as x approaches 0 of (cos(x^2))/x

x \to 0 lim (\frac{cos ( x ^{2} )}{x})