(x^3+xy^2)dx+(x^2y+y^3)dy=0

Lösung

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

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

Schritte zur Lösung

(x^{3} + x y^{2}) d x + (x^{2} y + y^{3}) 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}

\frac{d x}{d t} = 50 - \frac{x}{100}

y^{^{'}} = y y^{2} - 1

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

\frac{d y}{d x} - \frac{y}{3 x - 1} = 0

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