(dy}{dx}=\frac{y^2)/x ,y(e)=3

Lösung

\frac{d y}{d x} = \frac{y ^{2}}{x}, y (e) = 3

y = - \frac{3}{3 ln ( x ) - 4}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{3}{3 ln ( x ) - 4}

y = - \frac{3}{3 ln ( x ) - 4}

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

x^{^{'}} = 1 - 3 x + 2 x^{2}

4 y + x \frac{d y}{d x} = 0

y + 4 y^{^{'}} = 0

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