Home
Class 12
MATHS
Let y(x) be a solution of ((2+sinx))/((1...

Let `y(x)` be a solution of `((2+sinx))/((1+y)) (dy)/(dx)= cos x` If `y(0)=2`, then `y((pi)/(2))` equals

A

`(5)/(2)`

B

2

C

`(7)/(2)`

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 42

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|10 Videos

  • NTA TPC JEE MAIN TEST 41

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

  • NTA TPC JEE MAIN TEST 43

    NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos

Similar Questions

Explore conceptually related problems

If y=y(x) and (2+sin x)/(y+1)((dy)/(dx))=-cos x,y(0)=1, then y((pi)/(2)) equals

if y=y(x) and (2+sin x)/(y+1)((dy)/(dx))=-cos x,y(0)=1, then y((pi)/(2))=

If (2+sin x)(dy)/(dx)+(y+1)cos x=0 and y(0)=1, then y((pi)/(2)) is equal to :

If (2+sin x)(dy)/(dx)+(y+1)cos x=0 and y(0)=1, then y((pi)/(2)) is equal to

If ((2+cosx)/(3+y))(dy)/(dx)+sinx=0 and y(0)=1 , then y((pi)/(3)) is equal to

If (2+sinx)(dy)/(dx)+(y+1)cosx=0 and y(0)=1 , then y((pi)/(2)) is equal to

If (2+sinx)(dy)/(dx)+(y+1)cosx=0andy(0)=1, then y((pi)/(2)) is equal to

If y(x) is a solution of the differential equation ((2+sin x)/(1+y))(dy)/(dx)=-cos x and y(0)=1, then find the value of y((pi)/(2))