What is the solution for y^'=13xsec(y) ?

The solution for y^'=13xsec(y) is y=arcsin((13x^2)/2+c_{1})+2pin,y=pi+arcsin(-(13x^2)/2-c_{1})+2pin

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y^'=13xsec(y)

y^{^{'}} = 13 x sec (y)

y = arcsin (\frac{13 x ^{2}}{2} + c_{1}) + 2 πn, y = π + arcsin (- \frac{13 x ^{2}}{2} - c_{1}) + 2 πn

Solution steps

y^{'} (x) = 13 x sec (y)

Solve separable ODE:

y = arcsin (\frac{13 x ^{2}}{2} + c_{1}) + 2 πn, y = π + arcsin (- \frac{13 x ^{2}}{2} - c_{1}) + 2 πn

y = arcsin (\frac{13 x ^{2}}{2} + c_{1}) + 2 πn, y = π + arcsin (- \frac{13 x ^{2}}{2} - c_{1}) + 2 πn

What is the solution for y^'=13xsec(y) ?
The solution for y^'=13xsec(y) is y=arcsin((13x^2)/2+c_{1})+2pin,y=pi+arcsin(-(13x^2)/2-c_{1})+2pin