What is the solution for (dy)/(dx)+ytan(x)=2xcos(x) ?

The solution for (dy)/(dx)+ytan(x)=2xcos(x) is y=(x^2)/(sec(x))+(c_{1})/(sec(x))

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(dy)/(dx)+ytan(x)=2xcos(x)

\frac{d y}{d x} + y tan (x) = 2 x cos (x)

y = \frac{x ^{2}}{sec ( x )} + \frac{c _{1}}{sec ( x )}

Solution steps

\frac{d y}{d x} + y tan (x) = 2 x cos (x)

Solve linear ODE:

y = \frac{x ^{2}}{sec ( x )} + \frac{c _{1}}{sec ( x )}

y = \frac{x ^{2}}{sec ( x )} + \frac{c _{1}}{sec ( x )}

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What is the solution for (dy)/(dx)+ytan(x)=2xcos(x) ?
The solution for (dy)/(dx)+ytan(x)=2xcos(x) is y=(x^2)/(sec(x))+(c_{1})/(sec(x))