xy^2-7y^2-x^2y^'=0

Lösung

x y^{2} - 7 y^{2} - x^{2} y^{^{'}} = 0

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

Schritte zur Lösung

x y^{2} - 7 y^{2} - x^{2} y^{'} (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}

y^{^{'}} = 2 x - 3 x y

ln (y^{^{'}}) = y

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

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

e^{- y} sin (x) - \frac{d y}{d x} cos^{2} (x) = 0