MTH401 DIFFERENTIAL EQUATIONS final term paper 2011

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full paper in attachment

[


B]Question No: 1 ( Marks: 2 ) - Please choose one


The Wronskian of the function is

►
1

►
0

►
-2

►
None of these



Question No: 2 ( Marks: 2 ) - Please choose one

The eigen values of matrix are

►


►


►


►
None of these



Question No: 3 ( Marks: 2 ) - Please choose one

Roots of the equation will be

►
0,1,2

►
0,+ i , - i

►
0,1,i

►
None of these



Question No: 4 ( Marks: 2 ) - Please choose one

A differential equation is called

►
Initial value problem

►
Boundary value problem

►
None of these



Question No: 5 ( Marks: 2 ) - Please choose one

Suppose the functions possess at least n-1 derivatives on interval I , if
is called _________


►
Linearly dependent

►
Linearly independent

►
None of these



Question No: 6 ( Marks: 5 )

Solve the initial value problem




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Question No: 7 ( Marks: 10 )

Solve


Question No: 8 ( Marks: 5 )

Find the general solution of the given differential equation on




Question No: 9 ( Marks: 10 )

Use the Gauss-Jordan elimination method to solve the linear system




Question No: 10 ( Marks: 10 )

Derive the expression of


Question No: 11 ( Marks: 5 )

Solve by using Cauchy Euler method





[/B]