What is the solution for (cot(y)+x^2)dx=xcsc^2(y)dy ?

The solution for (cot(y)+x^2)dx=xcsc^2(y)dy is y=arccot((c_{1}-x^3)/(3x))+pin

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(cot(y)+x^2)dx=xcsc^2(y)dy

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

y = arccot (\frac{c _{1} - x ^{3}}{3 x}) + πn

Solution steps

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

Solve exact ODE:

y = arccot (\frac{c _{1} - x ^{3}}{3 x}) + πn

y = arccot (\frac{c _{1} - x ^{3}}{3 x}) + πn

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What is the solution for (cot(y)+x^2)dx=xcsc^2(y)dy ?
The solution for (cot(y)+x^2)dx=xcsc^2(y)dy is y=arccot((c_{1}-x^3)/(3x))+pin