4+2*cot(y)(dy)/(dx)=0

解答

4 + 2 \cdot cot (y) \frac{d y}{d x} = 0

y = arcsin (e^{- 2 x + c_{1}}) + 2 πn, y = π + arcsin (- e^{- 2 x + c_{1}}) + 2 πn

求解步骤

4 + 2 \cdot cot (y) \frac{d y}{d x} = 0

求解可分离方程:

y = arcsin (e^{- 2 x + c_{1}}) + 2 πn, y = π + arcsin (- e^{- 2 x + c_{1}}) + 2 πn

y = arcsin (e^{- 2 x + c_{1}}) + 2 πn, y = π + arcsin (- e^{- 2 x + c_{1}}) + 2 πn

\frac{d S}{d t} = 0.03 - \frac{S}{360}

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

x^{^{'}} + \frac{x}{50} = 2

x y^{^{'}} cos (y) + sin (y) = 0

(1 + x^{2}) y^{^{'}} - 2 x (y + 3) = 0