(2x+1)(dy)/(dx)+y^2=0

Lösung

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

y = - \frac{2}{- ln ( 1 + 2 x ) + c _{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{2}{- ln ( 1 + 2 x ) + c _{1}}

y = - \frac{2}{- ln ( 1 + 2 x ) + c _{1}}

y^{^{'}} + \frac{2 y}{x} = 0

\frac{d y}{d x} = 0.075 y - 9000

x^{^{'}} - x^{2} = 0

y^{^{'}} = 0.5 y - 250

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