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Assignment # 1MTH401 (Fall 2013)
Total marks: 20
Lecture # 1 to 10
Due date: 27/11/2013
DON’T MISS these important instructions:
Question 1: Marks 6+4
a) Determine whether the given differential equations are homogeneous or non-homogeneous. Also, mention the degree of homogeneous differential equations.
b) Find the integrating factor of the following differential equation.
Question 2: Marks 10
Convert the given Bernoulli differential equation into linear form and find its solution.
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+ Click Here to Search (Looking For something at vustudents.ning.com?) + Click Here To Join (Our facebook study Group)M(x,y)dx+(x,y)dy=0
M= -(cotx+sinx)
N = cosx
then
M(-cotx-sinx)dx+(cosx)dy=0
-(cotx+sinx)
here no intigrating factor because equation is exect
dm/dy= dn/dx both are equal to -sinx
IF find krna hai. equ. nt exact
see my posts abov
i agree with waqar bhei
How can you write this equation is exact first solution is sinx and 2nd is -sinx .HOw can you say it is exact
yes yes, equ. extct he hai. i checked it again. '-' miss ho gya tha mere se. so exct equ. ka IF nikalna he ni hota hain. it's already exct equ.
you are doing wrong bro yah exact a raha hay cosx nahe ahy -cosx ata hay jab hum equation ko solve karty hay otherwise phr cotx -ve may ata hay agar ap cosx ko +ve karty hay what you say ?
i shared how to write equ. and then equ. nt exact. aftr tht find IF
o bhai is ma DMA rule kidr aa gya???? first we have to convert given equ. into standard form that is M(x,y)dx-cosxdy=0. aftr this proceed to prove that it is nt exact. ye prov krna zrori nhi k equ exct nhi hai. because teachr jst said IF malom kre, tu IF usi equ. ka malom kiya jata hai jo exct nhi hoti. so zrori nhi k ye prov kiya jae k equ exct nhi hai. standrd form ma likhne k bd direct IF bi malom kiya ja skta hai. hope u undrstnd
ye b zrori ni hai k q exact ho or os ka if b zrori ni
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