(t^2+1)(dy)/(dt)=2y

解答

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

y = e^{2 a r c t a n (t) + c_{1}}

求解步骤

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

求解可分离方程:

y = e^{2 a r c t a n (t) + c_{1}}

y = e^{2 a r c t a n (t) + c_{1}}

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