MTH401 DIFFERENTIAL EQUATIONS final term paper 2011

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


The Wronskian of the function is

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1

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0

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-2

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None of these



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

The eigen values of matrix are

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►


►


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None of these



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

Roots of the equation will be

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0,1,2

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0,+ i , - i

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0,1,i

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None of these



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

A differential equation is called

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Initial value problem

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Boundary value problem

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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 _________


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Linearly dependent

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Linearly independent

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None of these



Question No: 6 ( Marks: 5 )

Solve the initial value problem




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





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