What is the solution for (dy)/(dx)=sec(x)+ytan(x) ?

The solution for (dy)/(dx)=sec(x)+ytan(x) is y= x/(cos(x))+(c_{1})/(cos(x))

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(dy)/(dx)=sec(x)+ytan(x)

\frac{d y}{d x} = sec (x) + y tan (x)

y = \frac{x}{cos ( x )} + \frac{c _{1}}{cos ( x )}

Solution steps

\frac{d y}{d x} = sec (x) + y tan (x)

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y = \frac{x}{cos ( x )} + \frac{c _{1}}{cos ( x )}

y = \frac{x}{cos ( x )} + \frac{c _{1}}{cos ( x )}

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What is the solution for (dy)/(dx)=sec(x)+ytan(x) ?
The solution for (dy)/(dx)=sec(x)+ytan(x) is y= x/(cos(x))+(c_{1})/(cos(x))