(dy)/(dx)=7xy-7x

Lösung

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

y = e^{\frac{7 x ^{2}}{2} + c_{1}} + 1

Schritte zur Lösung

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

Solve separable ODE:

y = e^{\frac{7 x ^{2}}{2} + c_{1}} + 1

y = e^{\frac{7 x ^{2}}{2} + c_{1}} + 1

(3 x y^{2} - 6 y) d x + (3 x^{2} y - 6 x) d y = 0

d y = (x - 1) d x + y (x - 1) d x

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

e^{x + y} d y - d x = 0

\frac{1}{y} \cdot \frac{d y}{d x} = 10