What is the solution for (dy)/(dx)=14xsec(y) ?

The solution for (dy)/(dx)=14xsec(y) is y=arcsin(7x^2+c_{1})+2pin,y=pi+arcsin(-7x^2-c_{1})+2pin

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(dy)/(dx)=14xsec(y)

\frac{d y}{d x} = 14 x sec (y)

y = arcsin (7 x^{2} + c_{1}) + 2 πn, y = π + arcsin (- 7 x^{2} - c_{1}) + 2 πn

Solution steps

\frac{d y}{d x} = 14 x sec (y)

Solve separable ODE:

y = arcsin (7 x^{2} + c_{1}) + 2 πn, y = π + arcsin (- 7 x^{2} - c_{1}) + 2 πn

y = arcsin (7 x^{2} + c_{1}) + 2 πn, y = π + arcsin (- 7 x^{2} - c_{1}) + 2 πn

y^{^{'}} = - \frac{x - 3}{36 y - 108}, y (3) = 4

\frac{d S}{d t} = 0.04 - \frac{S}{( 1140 )}

5 y^{^{'}} = 4 x + 2 x y

(1 + x^{2}) y^{^{'}} = 1 + y^{2}

t^{2} x^{^{'}} + x = 0

What is the solution for (dy)/(dx)=14xsec(y) ?
The solution for (dy)/(dx)=14xsec(y) is y=arcsin(7x^2+c_{1})+2pin,y=pi+arcsin(-7x^2-c_{1})+2pin