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Beliebt Rechnen >

y^'=(2xy)/(x^2+1),y(1)=6

Lösung

y^{^{'}} = \frac{2 x y}{x ^{2} + 1}, y (1) = 6

Lösung

y = 3 (x^{2} + 1)

Schritte zur Lösung

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

Solve separable ODE:

y = 3 (x^{2} + 1)

y = 3 (x^{2} + 1)

Graph

Beliebte Beispiele

integral of tan^3(2x)sec^3(2x)

\int tan^{3} (2 x) sec^{3} (2 x) d x

derivative of x^3-3x+4

\frac{d}{d x} (x^{3} - 3 x + 4)

(\partial)/(\partial y)(xcos(y/z))

\frac{\partial}{\partial y} (x cos (\frac{y}{z}))

integral of 1/(cos(x)sin(x))

\int \frac{1}{cos ( x ) sin ( x )} d x

(y^')/3 =x^2y,y(0)=-8

\frac{y ^{^{'}}}{3} = x^{2} y, y (0) = - 8