Question

Answer only if you know with complete solution
Q. 35

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Answer 1

hola!

$\frac{dy}{dx}$ = $\frac{dy}{dx} \frac{-(y + 1)cosx}{2 + sinx} dx$

$\int { \frac{dy}{y+1} } \, dx$ = $\int { \frac{cosx}{2 + sinx} } \, dx$

$l$ n(y+1) = $l$ n(2 + sinx) + $l$ nc

(y + 1)(2 + sinx) = c

y(0) = 1

(2)(2) = c ⇒4

y($\frac{\pi}{2}$) = ?

(y + 1)(2 + 1) = 4

y = 1/3

Hence,
Option (3) is Correct!

Hope it helps! :)