x(dy)/(dx)5y=x^2-x

Lösung

x \frac{d y}{d x} 5 y = x^{2} - x

y = \frac{x ^{2}}{5} - \frac{2}{5} x + c_{1}, y = - \frac{x ^{2}}{5} - \frac{2}{5} x + c_{1}

Schritte zur Lösung

x \frac{d y}{d x} 5 y = x^{2} - x

Solve separable ODE:

y = \frac{x ^{2}}{5} - \frac{2}{5} x + c_{1}, y = - \frac{x ^{2}}{5} - \frac{2}{5} x + c_{1}

y = \frac{x ^{2}}{5} - \frac{2}{5} x + c_{1}, y = - \frac{x ^{2}}{5} - \frac{2}{5} x + c_{1}

f^{^{'}} (x) f (x) = - 6 x + 4

7 (x^{^{'}} 1) = 3 (x + 2)

\frac{d v}{d t} = v^{(\frac{2}{3})}

y^{^{'}} = 5 x y

\frac{d y}{d t} = 2 y, y (9) = 4