(dy)/(dx)=-2y+5

Solução

\frac{d y}{d x} = - 2 y + 5

y = \frac{e ^{- 2 x - c_{1}}}{2} + \frac{5}{2}

Passos da solução

\frac{d y}{d x} = - 2 y + 5

Solve separable ODE:

y = \frac{e ^{- 2 x - c_{1}}}{2} + \frac{5}{2}

y = \frac{e ^{- 2 x - c_{1}}}{2} + \frac{5}{2}

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

\frac{d y}{d x} - \frac{x}{y} = 0

(t^{3} + 7 t^{3} x^{2}) d t + x e^{t^{4}} d x = 0, x (0) = 0

y^{^{'}} = 3 (y - 1)^{\frac{2}{3}}

y^{^{'}} + \frac{1}{2} (x - 2) y^{2} = 0