What is the solution for (dy)/(dx)+5(tan(5x))y=3cos(5x) ?

The solution for (dy)/(dx)+5(tan(5x))y=3cos(5x) is y=(3x)/(sec(5x))+(c_{1})/(sec(5x))

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(dy)/(dx)+5(tan(5x))y=3cos(5x)

\frac{d y}{d x} + 5 (tan (5 x)) y = 3 cos (5 x)

y = \frac{3 x}{sec ( 5 x )} + \frac{c _{1}}{sec ( 5 x )}

Solution steps

\frac{d y}{d x} + 5 (tan (5 x)) y = 3 cos (5 x)

Solve linear ODE:

y = \frac{3 x}{sec ( 5 x )} + \frac{c _{1}}{sec ( 5 x )}

y = \frac{3 x}{sec ( 5 x )} + \frac{c _{1}}{sec ( 5 x )}

\int 60 x^{2} (1 - 4 x^{3})^{4} d x

f (x) = x^{\frac{5}{6}}

y = 10 - 3 x - x^{2}

\frac{d y}{d x} + y cos (x) = 4 cos (x), y (0) = 6

What is the solution for (dy)/(dx)+5(tan(5x))y=3cos(5x) ?
The solution for (dy)/(dx)+5(tan(5x))y=3cos(5x) is y=(3x)/(sec(5x))+(c_{1})/(sec(5x))