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Beliebt Rechnen >

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

Lösung

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

Lösung

y = x^{2} + 1

Schritte zur Lösung

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

Solve separable ODE:

y = x^{2} + 1

y = x^{2} + 1

Graph

Beliebte Beispiele

xdx-ydy=xy(xdy-ydx)

x d x - y d y = x y (x d y - y d x)

(dy)/(dx)=(sin(x))/(sec^2(y))

\frac{d y}{d x} = \frac{sin ( x )}{sec ^{2} ( y )}

y^'=(y^4)/(x^6)

y^{^{'}} = \frac{y ^{4}}{x ^{6}}

xy^2-7y^2-x^2y^'=0

x y^{2} - 7 y^{2} - x^{2} y^{^{'}} = 0

y^{^{'}} = 2 x - 3 x y