MTH401 Final Term Past Papers 2012

MTH401-Differential Equations · Spring 2012 final term Paper 27 July · ~~*Libriansmine*~~

Q: An electronic component of an electronic circuit that has the ability to store charge and opposes any change of voltage in the circuit is called

Inductor · Resistor · Capacitor · Q: If

oA is initial value and T denotes the half-life of the radioactive substance than

T A

dA KA dt 

A A T 

Q: integrating factor of the given equation cos sin cos dy x x y x x x dx  is

Xsecx

Cosx

Cotx

Xsinx

Q: Operator method is the method of the solution of a system of linear homogeneous or linear

non-homogeneous differential equations which is based on the process of systematic elimination of the

Dependent variables

Independent variable Choice variable

Q: If E (t) =0, R =0 Electric vibration of the circuit is called_________

Free damped oscillation Undamped oscillation Over damped oscillation

Q: Eigen value of a matrix

5, 5

10, 5

25, 5

None

Q: Eigen value of a matrix 1 1

2,0

1,1

1,2

None

Q: For Eigen values of a matrix ,there exists......... Eigen vectors.

infinite one two three

Q: If a matrix has 1 row and 3columns then the given matrix is called________ 5,5 A Column matrix

Row matrix

Rectangular matrix

None

Q: The general solution of differential equation .is given by

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

xe

y

x

x y e

e

e

Q: For the equation of free damped motion dx dx x dt dt the roots are

if >0 m m Then the equations said to be:

Under damped Over damped Critically damped dy x y dx x

y x e cx y x e cy x y e cx x y e cx