What is the solution for (dy)/(dx)+tan(x)y-cos(x)=0 ?

The solution for (dy)/(dx)+tan(x)y-cos(x)=0 is y= x/(sec(x))+(c_{1})/(sec(x))

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(dy)/(dx)+tan(x)y-cos(x)=0

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

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

Solution steps

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

Solve linear ODE:

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

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

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What is the solution for (dy)/(dx)+tan(x)y-cos(x)=0 ?
The solution for (dy)/(dx)+tan(x)y-cos(x)=0 is y= x/(sec(x))+(c_{1})/(sec(x))