y^'=7xy

Lösung

y^{^{'}} = 7 x y

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

Schritte zur Lösung

y^{'} (x) = 7 x y

Solve separable ODE:

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

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

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

(x + x y) y^{^{'}} + y = 0

(7 + x) y^{^{'}} = (x + 8) (y - 7)

\frac{d y}{d x} = e^{x + y}, e^{x} + e^{y} = c

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