What is the solution for y^'+x^2sin(y)=0 ?

The solution for y^'+x^2sin(y)=0 is y=2arctan(e^{-(x^3)/3+c_{1}})+2pin

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y^'+x^2sin(y)=0

y^{^{'}} + x^{2} sin (y) = 0

y = 2 arctan (e^{- \frac{x ^{3}}{3} + c_{1}}) + 2 πn

Solution steps

y^{'} (x) + x^{2} sin (y) = 0

Solve separable ODE:

y = 2 arctan (e^{- \frac{x ^{3}}{3} + c_{1}}) + 2 πn

y = 2 arctan (e^{- \frac{x ^{3}}{3} + c_{1}}) + 2 πn

f (x) = x^{3} - 5 x^{2}, at x = 0

x \to 5 lim (3 x^{2} + 3 x + 5)

\int \frac{1}{n} d n

n = 1 \sum \infty \frac{n}{e ^{n}}

\int arctan (2 x + 1) d x

What is the solution for y^'+x^2sin(y)=0 ?
The solution for y^'+x^2sin(y)=0 is y=2arctan(e^{-(x^3)/3+c_{1}})+2pin