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^{3} - 2 x^{2} - 3 x

\frac{\partial}{\partial x} (e^{c o s (x - 2 y)})

\frac{( 7 s + 2 )}{s ^{2} + 6 s + 34}

x \to 9 + lim (\frac{7}{x - 9})

\int e^{y} cos (x) 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))