xy^2-7y^2-x^2(dy)/(dx)=0

Lösung

x y^{2} - 7 y^{2} - x^{2} \frac{d y}{d x} = 0

y = - \frac{x}{x ln ( x ) + 7 + c _{1} x}

Schritte zur Lösung

x y^{2} - 7 y^{2} - x^{2} \frac{d y}{d x} = 0

Solve separable ODE:

y = - \frac{x}{x ln ( x ) + 7 + c _{1} x}

y = - \frac{x}{x ln ( x ) + 7 + c _{1} x}

x e^{- y} sin (x) d x - y d y = 0

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

\frac{d y}{d x} y = 9 x

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

y^{^{'}} = 2 y