1= 5/3 y+(dy)/(dx)

Lösung

1 = \frac{5}{3} y + \frac{d y}{d x}

y = \frac{e ^{\frac{- 5 x - c _{1}}{3}}}{5} + \frac{3}{5}

Schritte zur Lösung

1 = \frac{5}{3} y + \frac{d y}{d x}

Solve separable ODE:

y = \frac{e ^{\frac{- 5 x - c _{1}}{3}}}{5} + \frac{3}{5}

y = \frac{e ^{\frac{- 5 x - c _{1}}{3}}}{5} + \frac{3}{5}

x \cdot d y - 2 y \cdot d x = 0

\frac{d y}{d x} = \frac{4 x 1 + y ^{2}}{y}

y^{^{'}} = x y + x, y (0) = 2

5 y^{^{'}} = y cos (x), y (0) = 1

y^{^{'}} = (x + 1) e^{- x} y^{2}