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 )}

x \to - \infty lim (x^{2} - 2 x + 1 - x)

\int \frac{13}{( x ^{2} - 1 ) ^{2}} d x

\frac{\partial}{\partial y} (tan (x^{2} + y^{2}))

f (x) = \frac{1 - sin ( x )}{1 + sin ( x )}

\int \frac{1}{x + 4} d 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))