What is the solution for (dy)/(dx)+6*(tan(6x))*y=2*cos(6x) ?

The solution for (dy)/(dx)+6*(tan(6x))*y=2*cos(6x) is y=(2x)/(sec(6x))+(c_{1})/(sec(6x))

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(dy)/(dx)+6(tan(6x))y=2*cos(6x)

\frac{d y}{d x} + 6 \cdot (tan (6 x)) \cdot y = 2 \cdot cos (6 x)

y = \frac{2 x}{sec ( 6 x )} + \frac{c _{1}}{sec ( 6 x )}

Solution steps

\frac{d y}{d x} + 6 \cdot (tan (6 x)) \cdot y = 2 \cdot cos (6 x)

Solve linear ODE:

y = \frac{2 x}{sec ( 6 x )} + \frac{c _{1}}{sec ( 6 x )}

y = \frac{2 x}{sec ( 6 x )} + \frac{c _{1}}{sec ( 6 x )}

\int \frac{33 x ^{2}}{x ^{2} - 4} d x

\frac{10 - 3 x}{2}

\frac{\partial}{\partial x} (2 e^{x y + 6})

\int_{0}^{π} x cos^{2} (x) d x

x \to 0 lim ((1 - 7 x)^{\frac{1}{x}})

What is the solution for (dy)/(dx)+6*(tan(6x))*y=2*cos(6x) ?
The solution for (dy)/(dx)+6*(tan(6x))*y=2*cos(6x) is y=(2x)/(sec(6x))+(c_{1})/(sec(6x))