What is the solution for (dy)/(dx)=8xsec(y) ?

The solution for (dy)/(dx)=8xsec(y) is y=arcsin(4x^2+c_{1})+2pin,y=pi+arcsin(-4x^2-c_{1})+2pin

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(dy)/(dx)=8xsec(y)

\frac{d y}{d x} = 8 x sec (y)

y = arcsin (4 x^{2} + c_{1}) + 2 πn, y = π + arcsin (- 4 x^{2} - c_{1}) + 2 πn

Solution steps

\frac{d y}{d x} = 8 x sec (y)

Solve separable ODE:

y = arcsin (4 x^{2} + c_{1}) + 2 πn, y = π + arcsin (- 4 x^{2} - c_{1}) + 2 πn

y = arcsin (4 x^{2} + c_{1}) + 2 πn, y = π + arcsin (- 4 x^{2} - c_{1}) + 2 πn

\frac{d y}{d x} = 0.4 x y

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

\frac{d y}{d x} = \frac{x ^{2} + 1}{2 - 2 y}

y^{^{'}} - y ln (y) = 0

2 x y d x + (1 + x^{2}) d y = 0, y = 1

What is the solution for (dy)/(dx)=8xsec(y) ?
The solution for (dy)/(dx)=8xsec(y) is y=arcsin(4x^2+c_{1})+2pin,y=pi+arcsin(-4x^2-c_{1})+2pin