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

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

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y^'=e^xsec(y)

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

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

Solution steps

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

Solve separable ODE:

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

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

y^{\frac{7}{2}} \frac{d y}{d x} - y^{3} = - y^{\frac{9}{2}}

\frac{d y}{d x} x ln (x) - y = 0

y^{^{'}} = e^{7 x - 10 y}, y (0) = 0

y^{^{'}} csc (t) = \frac{- y ^{19}}{18}

\frac{d y}{d x} = \frac{- x}{y e ^{x^{2}}}

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