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Beliebt Rechnen >

y^'= 1/(3y^2(x^2+1))

Lösung

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

Lösung

y = 3 arctan (x) + c_{1}

Schritte zur Lösung

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

Solve separable ODE:

y = 3 arctan (x) + c_{1}

y = 3 arctan (x) + c_{1}

Graph

Beliebte Beispiele

y^'=(3x^2)/(2y-4)

y^{^{'}} = \frac{3 x ^{2}}{2 y - 4}

y^{^{'}} + 100 y = 5

(dy)/(dx)+6x^2y=5x^2,y(0)=2

\frac{d y}{d x} + 6 x^{2} y = 5 x^{2}, y (0) = 2

(dy)/(dx)=sin(x)(1-cos(x))(y^2-4)

\frac{d y}{d x} = sin (x) (1 - cos (x)) (y^{2} - 4)

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

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