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

Lösung

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

y = e^{x + c_{1}} x

Schritte zur Lösung

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

Solve separable ODE:

y = e^{x + c_{1}} x

y = e^{x + c_{1}} x

y^{^{'}} = (\frac{2 y + 3}{4 t + 5})^{2}

x \frac{d y}{d x} = e^{y + x}, x > 0

y^{^{'}} - \frac{3 y}{x} = 0

(1 - x) y^{^{'}} = 6 y

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