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Beliebt Rechnen >

dy(y+x^2y)=2xdx

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

y^'=xy^3(1+x^2)^{-1/2},y(0)=-1

y^{^{'}} = x y^{3} (1 + x^{2})^{- \frac{1}{2}}, y (0) = - 1

(dy)/(dx)=(-0.7)/(cos(y)),y(0)= pi/2

\frac{d y}{d x} = \frac{- 0.7}{cos ( y )}, y (0) = \frac{π}{2}

(y-y^')/(x^2)=0

\frac{y - y ^{^{'}}}{x ^{2}} = 0

x^{^{'}} + x^{2} = 0

y^'=(24ln^2(x))/(xe^y)

y^{^{'}} = \frac{24 ln ^{2} ( x )}{x e ^{y}}