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NDA - Differential Equation Test 957
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NDA - Differential Equation Test 957
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  • Question 1/5
    1 / -0.33
    Differential equation of  is:
    Solutions

    we have

    Let

    Hence

    Now

    Or

  • Question 2/5
    1 / -0.33
    The solution of the equation  is
    Solutions
    the differential equation is

    It is in the form of

    Now the C.F.=  and

  • Question 3/5
    1 / -0.33
    The value of  so that the sum of squares of the roots of the equation  assume the least value, is
    Solutions

    If the equation  has two roots  and .then,

     and

    Let  and  be the roots of the given equation , so that

     and

    Let sum  . Then,

     

     

     

    Now,  .

    Also,  for all

    Hence,  is minimum when

  • Question 4/5
    1 / -0.33
    The general solution of the differential equations  is
    Solutions

     

    ⇒

    ⇒

    ⇒

    ⇒

    ⇒

  • Question 5/5
    1 / -0.33
    Solution of the equation  is:
    Solutions

    According to the Question:

    The given equation can be written as

    Let  then the equation

    Which is a logarithm differential equation in t.

    Integral function =

    So solution is

    Or  by putting

    or

    or


    Hence, option A is correct.

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