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Beliebt Rechnen >

3x^2(1+y^2)dx-2ydy=0

Lösung

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

Lösung

y = e^{x^{3} + c_{1}} - 1, y = - e^{x^{3} + c_{1}} - 1

Schritte zur Lösung

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

Solve separable ODE:

y = e^{x^{3} + c_{1}} - 1, y = - e^{x^{3} + c_{1}} - 1

y = e^{x^{3} + c_{1}} - 1, y = - e^{x^{3} + c_{1}} - 1

Graph

Beliebte Beispiele

y^'=(11x^2-1)/(11+3y)

y^{^{'}} = \frac{11 x ^{2} - 1}{11 + 3 y}

(dy}{dx}=\frac{cos(x)y)/2

\frac{d y}{d x} = \frac{cos ( x ) y}{2}

y^'=e^{-y}cos(t),y(pi/6)=1

y^{^{'}} = e^{- y} cos (t), y (\frac{π}{6}) = 1

(dy)/(dx)+3/x y= 3/x

\frac{d y}{d x} + \frac{3}{x} y = \frac{3}{x}

(6(dy)/(dx))-36y^2=36

(6 \frac{d y}{d x}) - 36 y^{2} = 36