(2x+1)(dy)/(dx)=2xy

Lösung

(2 x + 1) \frac{d y}{d x} = 2 x y

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

Schritte zur Lösung

(2 x + 1) \frac{d y}{d x} = 2 x y

Solve separable ODE:

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

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

\frac{d y}{d t} = y - 3

\frac{d y}{d x} = \frac{2 ^{3} + 1}{y}, y = 2, x = 2 y, x = 1

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

f^{^{'}} (x) = - 5 f (x)

y^{^{'}} = \frac{3 x - e ^{x}}{2 y - 5}