What is the solution for (dy)/(dx)=2xsec(y) ?

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

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(dy)/(dx)=2xsec(y)

\frac{d y}{d x} = 2 x sec (y)

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

Solution steps

\frac{d y}{d x} = 2 x sec (y)

Solve separable ODE:

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

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

y^{\frac{1}{2}}

x \to 7 - lim (49 - x^{2})

f (n) = 2^{n}

f (x) = 4 sin^{5} (x)

\frac{d}{d x} ((x - 2) (2 x - 3))

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