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NDA - Differential Equation Test 1177
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NDA - Differential Equation Test 1177
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  • Question 1/5
    1 / -0.33
    Find a particular solution of the differential equation , given that x =0 when t= 0
    Solutions

    Given

    ⇒

    ⇒

    ⇒

    ⇒

    Let

    ⇒

    ⇒

    ⇒

    So

    ⇒

    ⇒

    ⇒

    ⇒  ……………..(1)

    At t = 0 , x = 0

    ⇒

    ⇒

    Put the value of C in (1)

    ⇒

    ⇒

    ⇒

    ⇒

    ⇒  , (

  • Question 2/5
    1 / -0.33
    If  is the solution of the differential equation, then the function  is equal to:
    Solutions






  • Question 3/5
    1 / -0.33
    If  is the solution of the differential equation  satisfying  then a value of  is:
    Solutions

    Correct answer B












  • Question 4/5
    1 / -0.33
    The solution of differential equation ?

    Solutions

    Integrating both sides with respect to x

    Again, integrating both side with respect to x

  • Question 5/5
    1 / -0.33
    If a curve  passing through the point ,  is the solution of the differential equation,

     then   is equal to

    Solutions

    It is a homogeneous differential equation

    Put








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