What is the solution for cos(x)(dy)/(dx)+(sin(x))y=1 ?

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

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cos(x)(dy)/(dx)+(sin(x))y=1

cos (x) \frac{d y}{d x} + (sin (x)) y = 1

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

Solution steps

cos (x) \frac{d y}{d x} + (sin (x)) y = 1

Solve linear ODE:

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

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

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