What is the solution for (dy)/(dx)+7(tan(7x))y=2cos(7x) ?

The solution for (dy)/(dx)+7(tan(7x))y=2cos(7x) is y=(2x)/(sec(7x))+(c_{1})/(sec(7x))

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(dy)/(dx)+7(tan(7x))y=2cos(7x)

\frac{d y}{d x} + 7 (tan (7 x)) y = 2 cos (7 x)

y = \frac{2 x}{sec ( 7 x )} + \frac{c _{1}}{sec ( 7 x )}

Solution steps

\frac{d y}{d x} + 7 (tan (7 x)) y = 2 cos (7 x)

Solve linear ODE:

y = \frac{2 x}{sec ( 7 x )} + \frac{c _{1}}{sec ( 7 x )}

y = \frac{2 x}{sec ( 7 x )} + \frac{c _{1}}{sec ( 7 x )}

x \to - 4 lim (8 - x)

\frac{d y}{d x}, x^{2} = y^{2}

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What is the solution for (dy)/(dx)+7(tan(7x))y=2cos(7x) ?
The solution for (dy)/(dx)+7(tan(7x))y=2cos(7x) is y=(2x)/(sec(7x))+(c_{1})/(sec(7x))