What is the solution for cos^2(x)sin(x)dy+(ycos^3(x)-1)dx=0 ?

The solution for cos^2(x)sin(x)dy+(ycos^3(x)-1)dx=0 is y=(tan(x))/(sin(x))+(c_{1})/(sin(x))

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cos^2(x)sin(x)dy+(ycos^3(x)-1)dx=0

cos^{2} (x) sin (x) d y + (y cos^{3} (x) - 1) d x = 0

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

Solution steps

cos^{2} (x) sin (x) d y + (y cos^{3} (x) - 1) d x = 0

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^{2} \frac{d y}{d x} + 2 x y = 5 y^{3}

\frac{d}{d x} (6 ln (x^{2}))

\int x \cdot tan^{2} (x) d x

x \to 0 lim (3 x + 1)

\frac{y ^{^{'}} - e ^{- t} + 3}{y} = - 3

What is the solution for cos^2(x)sin(x)dy+(ycos^3(x)-1)dx=0 ?
The solution for cos^2(x)sin(x)dy+(ycos^3(x)-1)dx=0 is y=(tan(x))/(sin(x))+(c_{1})/(sin(x))