What is the solution for (dy)/(dx)+10tan(10x)y=5cos(10x) ?

The solution for (dy)/(dx)+10tan(10x)y=5cos(10x) is y=(5x)/(sec(10x))+(c_{1})/(sec(10x))

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(dy)/(dx)+10tan(10x)y=5cos(10x)

\frac{d y}{d x} + 10 tan (10 x) y = 5 cos (10 x)

y = \frac{5 x}{sec ( 10 x )} + \frac{c _{1}}{sec ( 10 x )}

Solution steps

\frac{d y}{d x} + 10 tan (10 x) y = 5 cos (10 x)

Solve linear ODE:

y = \frac{5 x}{sec ( 10 x )} + \frac{c _{1}}{sec ( 10 x )}

y = \frac{5 x}{sec ( 10 x )} + \frac{c _{1}}{sec ( 10 x )}

y^{^{'}} = y^{2} sin (t)

x \to 0 lim (x csc (4 x))

11

\frac{d}{d x} (\frac{2 x}{4 x - 1})

y, (9 x e^{- \frac{1}{y ^{3}}} - 20 x^{3})

What is the solution for (dy)/(dx)+10tan(10x)y=5cos(10x) ?
The solution for (dy)/(dx)+10tan(10x)y=5cos(10x) is y=(5x)/(sec(10x))+(c_{1})/(sec(10x))