Math, asked by GeniuSk101, 1 year ago

Answer only if you know with complete solution
Q. 35

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Answers

Answered by IshanS
8
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! :)

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