MTH401 Final Term Past Papers by Rana Abubakar Khan

Rana Abubakar Khan

If you want to learn computer programming then contact with me

JOIN FB GROUP FOR VU HELP

Q1. Marks 2

Explain the series that Are identically zero.

Q2. Marks 2

In uncoupled differential equations the determinant of linear differential operators may zero or not. If yes then give

arguments.

Q3. Marks 2

Define eigenvalues of multiplicity m.

Q4. Marks 2

x y f f If e y dx x ye dy isanexact differential equationthen find and x y

Q5. Marks 3

Find theeigenvector of the following system

X X for eigenvalue

Q6. Marks 3

if m iand m iaretherootsof Cauchy Euler differential equation

then find the general solution

Q7. Marks 3

State Frobenius theorem.

Q8. Marks 3

Determinewhether thefollowingdifferentialequationisexactor not?

1 ln 1 ln y x dx x dy x

Q9. Marks 5

Discuss the sum of power series k k k a x at x

Q10. Marks 5

0,1,2,... n n n n n y y about x suchthat

a a Find a series solution for the differential eq

n and y a x n n uation

Q11. Marks 5

Determine and arelinearlydependent orindependent with thehelpof

wronskian.where

t t X X

X e X e

Q12. Marks 5

Show that isasolutionof homogenousdifferentialequation

'' 2y' y x x y e xe

y

2TMSCOCPFFUS2 ON AUGUST 19, 2017 AT 8:13PM

mcqzz bhhhhhhht kam thy past pprzz m s motly coceptual r bhhht confusing thy.... handouts ko a66y s read

kar lainaa .......attempt ho jayen gay Inshaa allah.........r subjecttivee bhhht asaan thaaaa......

• que related to integratin factor concept (5 marx)
• bournallii equation (5marx)

-eigenvalues and eigenvectors(5marx)

-related to power series (5 marx)