MTH401 - Differential Equations(Spring 2014) Assignment # 1,Due date: 19/05/2014

[مَلیکا ایمان]

[+ M.Tariq Malik]

.friends first question k anadr jo mathod use hona ta wo first order linera D.E equation wala ta jis main equations

y'p(x)y=q(x) tu hamary pas jo question hy wo same isi trha ka hy aur isko solve krny ka mathod book main lctr 5 main hy shyd ...is main humary pas 

p(x)=2x,q(x)=1

u(x) calculate kren gy aur wo calculate krny ka mathod buhat simple sy hy u(x)=e^intgrtn of Q(x) tu iska jawab aa jai ga e^x^2....ab y calculate krna hy aur y calculate krny ka formula hota hy

y={intgrl of u(x).q(x).dx + C}/u(x)....tu isy agar thora sa solve kr lne gy tu jawab aram sy wo aa jai ga jo hum ny prove krna hy

bas last step main intgrl of u(x) main x ki jaga t suppose kr lena hy aur intgrl main x aur 0 limits laga deni hn.....

2nd question main ye M aur N ki form main hy aur jab hum ny M ko dfrntiate kiya w.r.t y aur N ko w.r.t x tu dono ka jawab same aya jis sy pta chala k exact DE hy isko solve krny k liye k pehly hum ny N ko intigrate kiya w.r.t tu x aur fir jo jawab aya usy difrntiate krna hy w.r.t y is sy jo term hamary pas aai gi takreeban same ho gi original M wali term k siwae last wali term ki jis main aik traf hamary pas aya howa ho ga h'(x) aur M wali term main iski jagah py ho ga i think 2x tu is trha hum h'(x)=2x rakh len gy aur in dono side ko dfrntiate kr dn gy with respect tu hamary pas h(x)=x^2 aur isy hum c k braber suppose krty hn agy thori c mathematics hy wo ap log khud kr len gy solve....main yahan py sari dfrntiation aur intigration nahi likh raha hn taky wo ap log khud kren agar problem ho tu aj kal Fsc 2nd year waly farigh phir rahy hn paprs dy k unhn pakar k unse intigration aur diferentiation kra lejye ga....agar kisi ko kisi step main koi problem ho tu wo step yahan mention kr dy main usy solve kr don ga...agar kisi ko lagy k main ghalat hn tu plzz wo mujhy b guide kr dy............regards.

[Malik Bilal]

yr koi to solution do plzzzz

[VUSTD]

someone post the solution 

[VUSTD]

KOI B Question ka complete solution bta do

part 1 or part 2

kuch to number milain...............