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Beliebt Rechnen >

(dy)/(dx)+2xyy=0,y(0)=-1

Lösung

\frac{d y}{d x} + 2 x yy = 0, y (0) = - 1

Lösung

y = - \frac{1}{- x ^{2} + 1}

Schritte zur Lösung

\frac{d y}{d x} + 2 x yy = 0

Solve separable ODE:

y = - \frac{1}{- x ^{2} + 1}

y = - \frac{1}{- x ^{2} + 1}

Graph

Beliebte Beispiele

(x^2-x^2y)dy+2xydx=0

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

(dy)/(dx)=8xsqrt(9-y^2)

\frac{d y}{d x} = 8 x 9 - y^{2}

y^{^{'}} = \frac{x ^{2} - 2}{y}

y^'+(y^')/x+(1-1/(4x^2))y=0

y^{^{'}} + \frac{y ^{^{'}}}{x} + (1 - \frac{1}{4 x ^{2}}) y = 0

yy^'-sin(x)=0,y(pi)=1

y y^{^{'}} - sin (x) = 0, y (π) = 1