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

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

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(dy)/(dx)=(2x)(sec(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

x^{2} y + y^{^{'}} = 3 x^{2}

y^{^{'}} = - 6 y + 12

\frac{d y}{d t} = \frac{t + 3 t ^{2}}{y ^{2}}

h^{'} + (0.18 h^{\frac{- 3}{2}}) \frac{1}{π} = 0

(csc (y)) d x + cos^{2} (x) d y = 0

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