What is the solution for (x^2+1)dx+(dy)/y =0,y(-1)=1 ?

The solution for (x^2+1)dx+(dy)/y =0,y(-1)=1 is y=e^{-(x^3)/3-x+c_{1}}

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

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

y = e^{- \frac{x ^{3}}{3} - x + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{- \frac{x ^{3}}{3} - x + c_{1}}

y = e^{- \frac{x ^{3}}{3} - x + c_{1}}

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x \to 0 - lim (0)

What is the solution for (x^2+1)dx+(dy)/y =0,y(-1)=1 ?
The solution for (x^2+1)dx+(dy)/y =0,y(-1)=1 is y=e^{-(x^3)/3-x+c_{1}}