Differential Equations Quiz#1, MCQs



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  1. 1)

    The annihilator operator of the function y=e^-6x is


    • A)(D-6)^2
    • B) (D-6)^3
    • C) D-6
    • D) D+6

  2. 2)

    After converting the given differential equation

    into standard form, the function f(x) is


    • A) (Sec3x)/4
    • B) Sec3x)/64
    • C) None of them
    • D) Secx

  3. 3)

    Wronskian of the function

    is


    • A) 0
    • B) 1
    • C) 2
    • D) 3

  4. 4)

    In the infinite series of (x-a) which can be written as

    The number a is called the


    • A) Radius of power series
    • B) Centre of power series
    • C) Base of power series
    • D) None of them

  5. 5)

    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) (a + R, a - R)
    • B) (R -a, R + a)
    • C) (a - R, a + R)
    • D) None of them

  6. 6)

    The quantity

    is called


    • A) Reactance of circuit
    • B) Impedance of circuit
    • C) Quasi of circuit
    • D) None of them

  7. 7)

    The time interval between two successive maxima of

    is called


    • A) Phase period
    • B) Quasi-period
    • C) Both the period
    • D) None of them

  8. 8)

    The given differential equation


    • A) is Over damped
    • B) is Critically damped
    • C) is Under damped
    • D) None of them

  9. 9)

    The standard unit for measurement of inductance is


    • A) Volt
    • B) Ohms
    • C) Henry
    • D) None of them

  10. 10)

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


    • A) Commutative law
    • B) Associative law
    • C) Identity law
    • D) None of them