MTH401 Final Term Objective

MTH401-Diffeerential Equations · Spring 2012 FINAL Paper 25 July, 2012 · BY · 40MCQs · 4 Questions of 2 marks · 4 Questions of 3 marks · 4 Questions of 5 marks

1. The wronskin of the function cos sin cy c c x c x is

lineraly independent

lineraly dependent

both of the above

2. If the auxiliary equation has two roots 2 and m m  then the general solution is

mx mx y c e c e

mx y c c x e

x x y c e c e

cos sin x x y c e x c e x

Integarting factor if the D.E

ln ln dy y x

dx x x x

is

ln x

ln

ln x x

x

x

The integrating factor of the D.E ln is x dy y y ye dx 

xe

y

x

x y e

e

e

•  Which of the rule in matrices under multiplication does not hold true?

Commutative law

Associative law

Identity law

None of them

•  Any two matrices A and B are said to be equal if and only if they have the same orders and

the corresponding elements of the two matrices are equal. Then which of the following is true:

A=B · AB=BA · A≠B · correct

•  If E(t)=0, R =0 Electric vibration of the circuit is called_________
•  The reactance and impedance both are measured in_________

Ohm

Newton

Volt

None

•  Eigen value of a matrix

5, 5

10, 5

25, 5

None

If a matrix has 3 rows and 1columns then the given matrix is called________

Column matrix

Row matrix

Rectangular matrix

Square matrix

•  The matrix 2 is:6-6=0

Scalar matrix

Singular Matrix6-6=0

Non Singular matrix

None

The solution of the differential equation tan dy x dx is______

ln sec y x c

Sec x

Ln sec x+c