If the solution y (x ) of the given differential equation (e^y+1) cos ⁡x dx+e^y sin ⁡x dy=0 passes through the point ( 2 ,0 ), then the value of e^y ( 6 ) is equal to_______

Question

Accepted Answer

Correct answer: 3. (3) (e^y+1) cos ⁡ xdx+e^y sin ⁡ xdy=0 ⇒d ((e^y+1) sin ⁡x )=0(e^y+1) sin ⁡x=C It passes through ( 2 ,0 ) ⇒c=2 Now, x= 6 ⇒e^y=3

$If the solution y (x) of the given differential equation (e^{y} + 1) cos x d x + e^{y} sin x d y = 0 passes through the point (\frac{π}{2}, 0), then the value of e^{y (\frac{π}{6})} is equal to_______$

Solution

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