(dy}{dx}=\frac{x-5)/y

Lösung

\frac{d y}{d x} = \frac{x - 5}{y}

y = x^{2} - 10 x + c_{1}, y = - x^{2} - 10 x + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = \frac{x - 5}{y}

Solve separable ODE:

y = x^{2} - 10 x + c_{1}, y = - x^{2} - 10 x + c_{1}

y = x^{2} - 10 x + c_{1}, y = - x^{2} - 10 x + c_{1}

\frac{d y}{d x} = - \frac{3}{4} x^{4} y^{3}

y^{2} (3 v + 1) d v + y^{2} (- v^{2}) d y = 0

y^{^{'}} = \frac{x ( x + 1 )}{4 y ^{3}}

5 y y^{^{'}} = x, y (5) = 2

y^{^{'}} = - y \cdot 0.04 + 3.5 \cdot 0.5