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Beliebt Rechnen >

x^3ydx+x^2y^2dy=0

Lösung

x^{3} y d x + x^{2} y^{2} d y = 0

Lösung

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

Schritte zur Lösung

x^{3} y d x + x^{2} y^{2} d y = 0

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dy)/(dx)=2xy^2+(5y^2)/(sqrt(x))

\frac{d y}{d x} = 2 x y^{2} + \frac{5 y ^{2}}{x}

(dy)/(dx)y=ln(ln(x^5))

\frac{d y}{d x} y = ln (ln (x^{5}))

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

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

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

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

(dy)/(dx)=3xy^2-2y^2

\frac{d y}{d x} = 3 x y^{2} - 2 y^{2}