(dy)/(dx)=6-3y

Lösung

\frac{d y}{d x} = 6 - 3 y

y = - e^{- 3 x - c_{1}} + 2

Schritte zur Lösung

\frac{d y}{d x} = 6 - 3 y

Solve separable ODE:

y = - e^{- 3 x - c_{1}} + 2

y = - e^{- 3 x - c_{1}} + 2

3 y^{^{'}} = \frac{4 x}{y ^{2}}

y^{^{'}} = \frac{e ^{2 x}}{4 y ^{3}}

(x + 1) (y - 1) d x + (x - 1) (y + 1) d y = 0

(1 + 2 y) x d x + (1 + x^{2}) d y = 0

\frac{d y}{d x} = e^{(x + y)}