MTH401 Final Term Solved Paper

MTH401 FINAL TERM SOLVED PAPER

(VISIT VURANK FOR MORE)

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  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 · None of the · given · correct ·  What is the nature of the roots of the following D.E

d y dy x x y dx dx

Repeated root

Real and distinct

Complex or imaginary

•  If E(t)=0, R  0 Electric vibration of the circuit is called_________

Free damped oscillation Undamped oscillation Over damped oscillation

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

Free damped oscillation Undamped oscillation Over damped oscillation