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Beliebt Rechnen >

e^{-(x^2+y^2)}(xdx+ydy)=0

Lösung

e^{- (x^{2} + y^{2})} (x d x + y d y) = 0

Lösung

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

Schritte zur Lösung

e^{- (x^{2} + y^{2})} (x d x + y d y) = 0

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

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

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