What is the solution for cos^2(x)sin(x)((dy)/(dx))+(cos^3(x))y=1 ?

The solution for cos^2(x)sin(x)((dy)/(dx))+(cos^3(x))y=1 is y=(tan(x))/(sin(x))+(c_{1})/(sin(x))

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cos^2(x)sin(x)((dy)/(dx))+(cos^3(x))y=1

cos^{2} (x) sin (x) (\frac{d y}{d x}) + (cos^{3} (x)) y = 1

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

Solution steps

cos^{2} (x) sin (x) (\frac{d y}{d x}) + (cos^{3} (x)) y = 1

Solve linear ODE:

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

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

What is the solution for cos^2(x)sin(x)((dy)/(dx))+(cos^3(x))y=1 ?
The solution for cos^2(x)sin(x)((dy)/(dx))+(cos^3(x))y=1 is y=(tan(x))/(sin(x))+(c_{1})/(sin(x))