Question

If dy/dx = {(cos y - 2 sin x + 6) cos x}/{(sin x + 4 cos y +2) sin y}, y(0) = 0 then
y(pi/2)=

(a) pi/3
(b) pi/2
(c) 2 pi/3
(d) pi

Answer 1

I got this

By integrating
http://www3.wolframalpha.com/Calculate/MSP/MSP78601a1a3g1c1a7bbdca00005fh9fa5a20d54cag?MSPStoreType=image/gif&s=21&w=458&h=59

Answer 2

Hi Quarkine, please try this one also

Answer 3

hey try out putting y=x=0 in the integrated function to get constant..mine is coming wierd...

Answer 4

put x=0 in the integration and equate the expression to zero to find out constant

Answer 5

http://www4a.wolframalpha.com/Calculate/MSP/MSP35351a1a4hb8dh9bf33i00003a9c2d8g6a0dde04?MSPStoreType=image/gif&s=3&w=458&h=59
updated link

Answer 6

so you say that , after integration you got that expression

Answer 7

that is what i got...... after looking after many formula and also checked via wolfram alpha

Answer 8

did you find the constant?

Answer 9

given y=0 at x=0

Answer 10

yes
i tried to put the value of x = 0
and this is what i got.

Answer 11

you must have made a mistake
lets start a fresh

Answer 12

how did you find the integral?

Answer 13

ok thats better

Answer 14

so
assume sinx=u and cosy=v

Answer 15

so du=cosxdx and dv=-siny dy
substitute in the above equation
the equation gets simplified

Answer 16

let me try