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# MTH401 Final Term Papers Spring 2016 from 25 Feb 2017 to 08 Mar 2017

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long.
1. write the procedure of method of frobenius.
2. ans is on page 388 . example no 1. same question but in my paper values are different.
3. solve the differential equation dy/dx-3y=xe^3x
4. he give me two equations and said to represent in the folllowing form
Asin(wt+angle)
shorts.
Define the wronksian of y1 and y2 if these are the function of x.
define the wronksian of the set {1,-x,x}
Define regular singular points.
solve the differntail equation. equation yad nhi but ez thi.
eigenvalues di thi and kha tha k eigenvector find kro
aik equation di thi and pocha tha exact h k nhi.
and aik question exact k solve krne ko bhi tha. he says that this is exact and now solve further.
aik equation ka annihilator operator find krna tha.

mcqs past ppr sy ay thy kia??

nhi itne khas nhi aye the. conceptual the mcqs

another paper

another paper of my friend.
1.An object weight 4LB streches a spring to 12 inches then calculate its mass.
2. an equation given and said , if dy/dx = (-x+y+9)/(x+y-3) then determines the value of h and k using
substitution . x=X+h and y = Y+k
3. transform the following homogenous DE into a separable form
(x^2 + xy + y^2)dx- x^2 dy
(D^2 + Dy + y^2)x - x^2 y = 0
4. dy/dx + xy = 2xy^2. change it to BERnoulli DE
5. aik matrix diya tha us ki eignvalue bhi di thi and aik eignvector btana tha.
6.Write EQ of Free un-damped motion.
7. find general solution of differential EQ [(dy/dx)-6y=0]
8. Which method is often use to solve linear DE with variable cofficient.

aoa mra aj exam mai decoupled ka aik 3 marks ka tha
aik statement wala queation tha ivp find krni thi
aik homogeneous ka second sol find krna tha y2 ki value find krni thi y2 wala formula dia hua tha
aik long 5 marks ka particular integral find krna tha complementary dia hua tha baki mcqs kafi conceptual thy past sy nai thy itnyziada wronksian L.I aur anhilator waly mcqs thy
mujy aik 3 marks ka q aya tha k eq check kro exact hai ya nai
aur power series ki form likhni thi 2 marks
superposition principle ki def ae thi 3 marks
ratio test in power series 5 marks
mujy ziada paper power series sy aya tha
eigen value mai sy mujy bas aik mcq aya tha it was quite tough but alhamdulilah i have done all the queations but i do not know how many will be right

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