What is the solution for (dy)/(dx)=(4x^3)/(cos(y)) ?

The solution for (dy)/(dx)=(4x^3)/(cos(y)) is y=arcsin(x^4+c_{1})+2pin,y=pi+arcsin(-x^4-c_{1})+2pin

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(dy)/(dx)=(4x^3)/(cos(y))

\frac{d y}{d x} = \frac{4 x ^{3}}{cos ( y )}

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

Solution steps

\frac{d y}{d x} = \frac{4 x ^{3}}{cos ( y )}

Solve separable ODE:

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

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

\frac{d}{d x} ((2 x - 1) (3 x + 5))

x \to 2 - lim (x^{2} + 2)

\int x^{3} - 6 x + 7 d x

\frac{d}{d x} (x (x - 1)^{4})

\frac{\partial}{\partial x} (x y + yz + x z)

What is the solution for (dy)/(dx)=(4x^3)/(cos(y)) ?
The solution for (dy)/(dx)=(4x^3)/(cos(y)) is y=arcsin(x^4+c_{1})+2pin,y=pi+arcsin(-x^4-c_{1})+2pin