What is the solution for (dy)/(dt)+y*cot(t)=cos(t) ?

The solution for (dy)/(dt)+y*cot(t)=cos(t) is y=(sin(t))/2+(c_{1})/(sin(t))

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(dy)/(dt)+y*cot(t)=cos(t)

\frac{d y}{d t} + y \cdot cot (t) = cos (t)

y = \frac{sin ( t )}{2} + \frac{c _{1}}{sin ( t )}

Solution steps

\frac{d y}{d t} + y \cdot cot (t) = cos (t)

Solve linear ODE:

y = \frac{sin ( t )}{2} + \frac{c _{1}}{sin ( t )}

y = \frac{sin ( t )}{2} + \frac{c _{1}}{sin ( t )}

\frac{d}{d x} ((3 x^{2} - 6 x + 6) e^{x})

y = 2 x^{3} + x^{2} + 23

cos^{2} (2 θ)

y^{^{'}} = - 10 y, y (0) = 5

2 y^{^{''}} + y^{^{'}} - y = x + 7

What is the solution for (dy)/(dt)+y*cot(t)=cos(t) ?
The solution for (dy)/(dt)+y*cot(t)=cos(t) is y=(sin(t))/2+(c_{1})/(sin(t))