What is the solution for (dy)/(dx)+10(tan(10x))y=cos(10x) ?

The solution for (dy)/(dx)+10(tan(10x))y=cos(10x) is y= x/(sec(10x))+(c_{1})/(sec(10x))

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(dy)/(dx)+10(tan(10x))y=cos(10x)

\frac{d y}{d x} + 10 (tan (10 x)) y = cos (10 x)

y = \frac{x}{sec ( 10 x )} + \frac{c _{1}}{sec ( 10 x )}

Solution steps

\frac{d y}{d x} + 10 (tan (10 x)) y = cos (10 x)

Solve linear ODE:

y = \frac{x}{sec ( 10 x )} + \frac{c _{1}}{sec ( 10 x )}

y = \frac{x}{sec ( 10 x )} + \frac{c _{1}}{sec ( 10 x )}

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What is the solution for (dy)/(dx)+10(tan(10x))y=cos(10x) ?
The solution for (dy)/(dx)+10(tan(10x))y=cos(10x) is y= x/(sec(10x))+(c_{1})/(sec(10x))