(dy)/(dx)y=x^2-4x

Lösung

\frac{d y}{d x} y = x^{2} - 4 x

y = \frac{2 x ^{3}}{3} - 4 x^{2} + c_{1}, y = - \frac{2 x ^{3}}{3} - 4 x^{2} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} y = x^{2} - 4 x

Solve separable ODE:

y = \frac{2 x ^{3}}{3} - 4 x^{2} + c_{1}, y = - \frac{2 x ^{3}}{3} - 4 x^{2} + c_{1}

y = \frac{2 x ^{3}}{3} - 4 x^{2} + c_{1}, y = - \frac{2 x ^{3}}{3} - 4 x^{2} + c_{1}

y^{^{'}} - 3 y = 9, y (1) = 6

- y^{^{'}} - 3 y = 0

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

\frac{d V}{d t} = 50 - \frac{7}{100} V, V = 0, t = 0

d y = e^{x + y} d x