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

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

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cos(x)(dy)/(dx)+ysin(x)=1

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

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

Solution steps

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

x \to 0 lim (lo g_{\frac{1}{2}} (x))

\frac{x ^{3}}{x + 1}

\int 18 e^{x} d x

\int_{0}^{64} \frac{5}{x ^{\frac{2}{3}}} d x

\int_{- \frac{π}{4}}^{0} 8 sec^{3} (x) d x

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