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

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

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

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

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

Solution steps

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

Solve linear ODE:

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

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

x \to \infty lim (\frac{x}{2})

\frac{d}{d x} (x^{2} \cdot sin (\frac{1}{x}))

n = 1 \sum \infty \frac{3}{2 n + 3}

\int (5 e^{- 0.4 x}) d x

t a y l or e^{- 2 x}

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