(dy)/(dx)=3y-2

Lösung

\frac{d y}{d x} = 3 y - 2

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

Schritte zur Lösung

\frac{d y}{d x} = 3 y - 2

Solve separable ODE:

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

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

5 y + 5 + (5 x - 7) \frac{d y}{d x} = 0

\frac{d y}{d x} = 2 x y

y^{^{'}} = y^{\frac{1}{2}}

\frac{d y}{d x} = (x e^{x^{2} + y})

y^{^{'}} = \frac{t + 1}{t y + t}