Differential Equations Quiz#4, MCQs



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  1. 1)

    A set of functions whose wronskian is zero guarantees that set of functions is linearly dependent.


    • A) TRUE
    • B) FALSE

  2. 2)


    Is homogeneous.


    • A) TRUE
    • B) FALSE

  3. 3)

    Population dynamics are not practical application of the first order differential equations.


    • A) TRUE
    • B) FALSE

  4. 4)

    In the homogeneous differential equation after substitution v=y/x the equation reduces to.


    • A) Separable differential equation.
    • B) Exact differential equation.
    • C) Remain homogeneous equation.
    • D) None of the other

  5. 5)

    If the Wronskian W of three function f(x),g(x),h(x) is zero, what can be said about the dependency of the functions


    • A) May or may not be dependent
    • B) Always dependent
    • C) Never dependent
    • D) None of the other

  6. 6)

    The differential equation

    is:


    • A) Exact
    • B) Linear
    • C) Homogenous
    • D) Separable

  7. 7)

    The method of undetermined coefficient is limited to homogeneous linear differential equation


    • A) TRUE
    • B) FALSE

  8. 8)

    Equation of the form

    is called


    • A) First order linear differential equation
    • B) Bernoulli equation
    • C) Separable equation
    • D) None of the other.

  9. 9)


    Identify the ordinary differential equation


    • A) Exact
    • B) Linear
    • C) Homogenous
    • D) Separable

  10. 10)

    A set of functions whose wronskian is zero then set of functions may or may not be dependent.


    • A) TRUE
    • B) FALSE