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Beliebt Rechnen >

x^2ydy-e^ydx=0

Lösung

x^{2} y d y - e^{y} d x = 0

Lösung

y = - W (\frac{- 1 + c _{1} x}{e x}) - 1

Schritte zur Lösung

x^{2} y d y - e^{y} d x = 0

Solve separable ODE:

y = - W (\frac{- 1 + c _{1} x}{e x}) - 1

y = - W (\frac{- 1 + c _{1} x}{e x}) - 1

Beliebte Beispiele

y^'=(y+3)/(7t+50),y(2)=0

y^{^{'}} = \frac{y + 3}{7 t + 50}, y (2) = 0

y/x (dy)/(dx)=sqrt((1+x^2)(1+y^2))

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

x(dy)/(dx)-yln(y)=0

x \frac{d y}{d x} - y ln (y) = 0

15.158y^'+y=0,y(0)=14.855

15.158 y^{^{'}} + y = 0, y (0) = 14.855

x \frac{d y}{d x} = - y