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diff equations

Ask you questions of CBSE Class XII and discuss the same here. For any doubts relates to CBSE Class XII.

diff equations

Postby pkciit » Tue Mar 11, 2008 10:39 pm

sin-1dy/dx =x+y
it's sin inverse don't get confused
plz give sol to the above :?:
pkciit
 
Posts: 31
Joined: Mon Mar 03, 2008 12:28 pm

Re: diff equations

Postby kauser » Wed Mar 12, 2008 1:02 am

sin-1dy/dx=x+y

dy/dx=sin(x+y)

dy=(sinxcosy+sinycosx)dx
integrating both sides

y= /sinxcosydx +/sinycosxdx

y= -cosycosx +sinysinx + C

/ is the integral sign :D
kauser
 
Posts: 53
Joined: Thu Dec 06, 2007 12:04 pm

Re: diff equations

Postby kauser » Wed Mar 12, 2008 4:10 pm

the previous method is applicable if the question had been sin-1 (dy/dx)=x+a
(replacing all ys on the RHS by a)
kauser
 
Posts: 53
Joined: Thu Dec 06, 2007 12:04 pm

Re: diff equations

Postby kauser » Wed Mar 12, 2008 4:14 pm

sin-1 (dy/dx)= x+y

dy/dx= sin(x+y).........1

z = x+y
dz/dx = 1+ dy/dx

dy/dx = dz/dx- 1

from 1

sinz = dz/dx-1

sinz+1= dz/dx

dz/(sinz+1) = dx

integrating both sides
..............

tanz - sec z = x+c

tan(x+y) - sec(x+y) = x+ c is the rqrd diff eqn
kauser
 
Posts: 53
Joined: Thu Dec 06, 2007 12:04 pm

Re: diff equations

Postby pkciit » Wed Mar 12, 2008 9:19 pm

i had solved all the que's of diff equ but i was really not able to solve this
so thanks a lot buddy !!!!!!!!!!!!!! :lol: :lol: :lol:
pkciit
 
Posts: 31
Joined: Mon Mar 03, 2008 12:28 pm

Re: diff equations

Postby kauser » Wed Mar 12, 2008 11:21 pm

can any body pls give me the solutions.....atleast the starting for miscellaneous diff eqns Q.11, 12, 13, 14
kauser
 
Posts: 53
Joined: Thu Dec 06, 2007 12:04 pm


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