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Beliebt Rechnen >

4xy^2dx+(x^2+1)dy=0

Lösung

4 x y^{2} d x + (x^{2} + 1) d y = 0

Lösung

y = - \frac{1}{- 2 ln ( x ^{2} + 1 ) + c _{1}}

Schritte zur Lösung

4 x y^{2} d x + (x^{2} + 1) d y = 0

Solve separable ODE:

y = - \frac{1}{- 2 ln ( x ^{2} + 1 ) + c _{1}}

y = - \frac{1}{- 2 ln ( x ^{2} + 1 ) + c _{1}}

Graph

Beliebte Beispiele

(dy)/(dx)=-6/8 x^4y^6

\frac{d y}{d x} = - \frac{6}{8} x^{4} y^{6}

tan(x)sin^2(y)dx+cos^2(x)cos(y)dy=0

tan (x) sin^{2} (y) d x + cos^{2} (x) cos (y) d y = 0

(dy)/(dx)=-4/5 x^3y^8

\frac{d y}{d x} = - \frac{4}{5} x^{3} y^{8}

2y(y-1)dx+x(2y-1)dy=0

2 y (y - 1) d x + x (2 y - 1) d y = 0

(dy)/(dx)+1/50 y=4

\frac{d y}{d x} + \frac{1}{50} y = 4