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Beliebt Rechnen >

y(dy)/(dx)=(x-e^x)/(e^{y^2)}

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dy}{dx}=\frac{20x^4)/y

\frac{d y}{d x} = \frac{20 x ^{4}}{y}

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

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

(dy)/(dx)(1+x^4)-3x^3y=0

\frac{d y}{d x} (1 + x^{4}) - 3 x^{3} y = 0

y^'=e^xcos^2(y)

y^{^{'}} = e^{x} cos^{2} (y)

5x^3dy=(x^4*e^{3x})/(y^2)dx

5 x^{3} d y = \frac{x ^{4} \cdot e ^{3 x}}{y ^{2}} d x