What is the solution for (dy)/(dx)=20xsec(y) ?

The solution for (dy)/(dx)=20xsec(y) is y=arcsin(10x^2+c_{1})+2pin,y=pi+arcsin(-10x^2-c_{1})+2pin

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(dy)/(dx)=20xsec(y)

\frac{d y}{d x} = 20 x sec (y)

y = arcsin (10 x^{2} + c_{1}) + 2 πn, y = π + arcsin (- 10 x^{2} - c_{1}) + 2 πn

Solution steps

\frac{d y}{d x} = 20 x sec (y)

Solve separable ODE:

y = arcsin (10 x^{2} + c_{1}) + 2 πn, y = π + arcsin (- 10 x^{2} - c_{1}) + 2 πn

y = arcsin (10 x^{2} + c_{1}) + 2 πn, y = π + arcsin (- 10 x^{2} - c_{1}) + 2 πn

y y^{^{'}} = x^{3}, y (0) = 3

\frac{d y}{d x} sin (y) + x cos (y) + x = 0

\frac{d y}{d t} + 2 y = - 1

y^{^{'}} = 1 - x - y + x y

\frac{d y}{d x} = 3 x^{5} y

What is the solution for (dy)/(dx)=20xsec(y) ?
The solution for (dy)/(dx)=20xsec(y) is y=arcsin(10x^2+c_{1})+2pin,y=pi+arcsin(-10x^2-c_{1})+2pin