What is the solution for 7(dy)/(dx)=(e^ysin^2(x))/(ysec(x)) ?

The solution for 7(dy)/(dx)=(e^ysin^2(x))/(ysec(x)) is y=-\W((sin^3(x)+c_{1})/(21e))-1

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

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

y = - W (\frac{sin ^{3} ( x ) + c _{1}}{21 e}) - 1

Solution steps

7 \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}}{21 e}) - 1

y = - W (\frac{sin ^{3} ( x ) + c _{1}}{21 e}) - 1

f^{'} (t)

x \to 0 + lim (1 - x)

\frac{d}{d x} (3 x^{2} cos (2 x))

\int \frac{1}{2} (1 + sin (θ))^{2} d θ

\int e x cos (x) d x

What is the solution for 7(dy)/(dx)=(e^ysin^2(x))/(ysec(x)) ?
The solution for 7(dy)/(dx)=(e^ysin^2(x))/(ysec(x)) is y=-\W((sin^3(x)+c_{1})/(21e))-1