MTH401 Midterm Past Paper by VUBuddy

MIDTERM EXAMINATION

Marks: 53 Time: 120min FALL 2006 MTH401 - DIFFERENTIAL EQUATIONS (Session - 1 )

Student Name:

Center Name/Code:

Exam Date: Monday, February 12, 2007

Q2. Do not ask any question about the contents of this examination from anyone.

1. If you think that there is something wrong with any of the question, attempt it to the best of your understanding.
2. Calculator is allowed.

All past paper available

Hand copy and soft copy available

Q1. ( Marks: 2 )

If the variation of the path of the curves can be describrd by the concept of differential equations

y  axis

then which of the following differential equation describe the path for

1. dy  1

dx

1. dy  0

dx

1. dy  1

dx

1. dy 

dx

Q2. ( Marks: 2 )

Suggestive method en form of the constant input function for the non homogeneous differential equation under the itled as "Method of the undetermined coefficient" is

f (x)  ex · f (x)  a · f ( x)  eax  ACosx  BSinx 

Which of the following function is linearly dependant to the exponential function

1. ex
2. ex
3. xex
4. xex

ex

Q4. ( Marks: 2 )

Eigen values for the system of the differential equations X   AX are evaluated for the

1. Solution vector X
2. Coefficient matrix A
3. Differentiated solution vector X 
4. Transpose of the Coefficient matrix A