(dy)/(dx)=-sqrt(y/x)

Lösung

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

y = x - c_{1} x + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

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

Solve separable ODE:

y = x - c_{1} x + \frac{c _{1}^{2}}{4}

y = x - c_{1} x + \frac{c _{1}^{2}}{4}

y^{^{'}} - y = 2, t e^{2 t} y (0) = 1

y d y - 2 x y^{2} d x = 0

t^{2} (1 + y^{2}) + 2 y \frac{d y}{d t} = 0, y (0) = 1

x (y^{2} + 10) d x = y (x^{2} + 20) d y

y^{^{'}} + 4 x y = 2 x