Differential Equations Quiz#2, MCQs



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  1. 1)


    then the order of Matrix AXB is


    • A) 2X4
    • B) 2X3
    • C) 3X3
    • D) None of them

  2. 2)

    Suppose that {X1, X2, X3,…,Xn} is a set of n solutions vectors on an interval I, of a homogeneous system X/=AX. The set is said to be a fundamental set of solutions of the system on the interval I if the solution vectors are


    • A) Linearly dependent
    • B) Linearly independent
    • C) Homogeneous
    • D) None of them

  3. 3)

    The matrix

    has an eigen value of multiplicity


    • A) 1
    • B) 2
    • C) 3
    • D) 4

  4. 4)

    The matrix

    has eigen values λ = -1,-1,5 where λ = -1 is a


    • A) The matrix
    • B) Single root of A
    • C) triple root of A
    • D) double root of A

  5. 5)


    • A) λ = 4 of multiplicity of 1
    • B) λ = 4 of multiplicity of 2
    • C) λ = 4 of multiplicity of 3
    • D) None of them

  6. 6)

    Wronskian of x,x^2 is


    • A) x
    • B) x^2
    • C) x^3
    • D) 0

  7. 7)

    If A is a square matrix and its determinant is zero, then


    • A) A is singular matrix
    • B) A is non-singular matrix.
    • C) A is scalar matrix.
    • D) A is diagonal matrix.

  8. 8)

    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


    • A) Resistor
    • B) Capacitor
    • C) Transistor
    • D) None of them

  9. 9)

    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


    • A) Dependent variables
    • B) Independent variable
    • C) Choice variable
    • D) None of them

  10. 10)

    Any linear differential equation of the form

    is called:


    • A) Homogeneous equation
    • B) Polar equation
    • C) Equi-dimensioanl equation or Cauchy eular
    • D) None of them