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 )}

\frac{d}{d x} (ln (\frac{1}{x + 1}))

\int x^{3} x^{2} + 43 d x

ln (x e^{x} + 8)

f (x) = 4 (100)^{7}

\int x^{3} - \frac{1}{2} d 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))