MTH401 Final Term Solved MCQs Set 2

MTH401 FINAL TERM SOLVED MCQs

(VISIT VUANSWER FOR MORE)

The annihilator operator of the function (D  6)2

(D  6)3 y  e6 x is

D  6 D  6

After converting the given differential equation function f(x) is

(Sec3x)/4

(Sec3x)/64

Secx 4 y//  64 y  sec3x into standard form, the

Wronskian of the function yc  c1  c2 cos x  c3 sin x is

In the infinite series of (x-a) which can be written as c (x  a)n  c  c (x  a)  c (x  a)2 ...

n n0 the number a is called the a (x  a) Radius of power series

Centre of power series

Base of power series

n n n1 Suppose that a power series is represented by a function “f”whose domain is the interval of the convergence of the power series. That function “f” is continuous, differentiable and integrable on

(a + R, a - R) (R -a, R + a)

(a - R, a + R)

The interval of convergence for the function secx is

dy  2xy  0

dx The solution of the linear first order differential equation is y  ex2

y  

n0 x2n n! y  ex2 y  

n0 x2n n!

X  L 

The quantity is called

Reactance of circuit

Impedance of circuit Quasi of circuit

d 2 x dt2 dx   dt x  0

For the equation of free damped motion the roots are m1    m1    2  2  0

Over damped If then system is said to be

Noneof them

The time interval between two successive maxima of x(t)  Aet sin[ is called

Phase period

Quasi-period Both the period

d 2 x dx dt2 5 dt  4x  0

The given differential equation is Over damped 2  2 2 2

2  2 Both

C