(xdy)/(dx)-y=7x^6y

Lösung

\frac{x d y}{d x} - y = 7 x^{6} y

y = e^{\frac{7 x ^{6}}{6} + c_{1}} x

Schritte zur Lösung

\frac{x d y}{d x} - y = 7 x^{6} y

Solve separable ODE:

y = e^{\frac{7 x ^{6}}{6} + c_{1}} x

y = e^{\frac{7 x ^{6}}{6} + c_{1}} x

\frac{d y}{d x} = \frac{y}{2 x + 1}, y (0) = 4

\frac{d y}{d t} = 2 k (y + 2)

3 y^{2} \frac{d y}{d x} - tan (x) = 0, y = 2, x = 0

y^{^{'}} = \frac{8 sin ( x )}{sin ( y )}, y (0) = \frac{π}{2}

\frac{d y}{d x} = 7 y^{2} x^{3}, y (2) = 3