What is the solution for 3(dy)/(dx)=(e^ysin^2(x))/(ysec(x)) ?

The solution for 3(dy)/(dx)=(e^ysin^2(x))/(ysec(x)) is y=-\W((sin^3(x)+c_{1})/(9e))-1

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3(dy)/(dx)=(e^ysin^2(x))/(ysec(x))

3 \frac{d y}{d x} = \frac{e ^{y} sin ^{2} ( x )}{y sec ( x )}

y = - W (\frac{sin ^{3} ( x ) + c _{1}}{9 e}) - 1

Solution steps

3 \frac{d y}{d x} = \frac{e ^{y} sin ^{2} ( x )}{y sec ( x )}

Solve separable ODE:

y = - W (\frac{sin ^{3} ( x ) + c _{1}}{9 e}) - 1

y = - W (\frac{sin ^{3} ( x ) + c _{1}}{9 e}) - 1

\int \frac{x + 1}{( x ^{2} + 4 x + 5 ) ^{2}} d x

\int_{- 1}^{3} x^{2} d x

f (x) = (4 a + 1)^{2}

y = \frac{x ln ( x )}{6} + \frac{2 x}{3}

\int 5 x e^{2 x} d x

What is the solution for 3(dy)/(dx)=(e^ysin^2(x))/(ysec(x)) ?
The solution for 3(dy)/(dx)=(e^ysin^2(x))/(ysec(x)) is y=-\W((sin^3(x)+c_{1})/(9e))-1