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Engineering
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The degree of the differential equation corresponding to the family of curves y=a(x+a)^{2},where a is an arbitrary constant is

  • Option 1)

    1

  • Option 2)

    2

  • Option 3)

    3

  • Option 4)

    None of these

 
As we learnt Degree of a Differential Equation - Degree of Highest order differential coefficient appearing in it, provided it can be expressed as a polynomial equation in derivatives - wherein Degree = 2                            Option 1) 1 Incorrect Option 2) 2 Incorrect Option 3) 3 correct Option 4) None of these Incorrect
Engineering
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If y(t) is asolution of (1+t)\frac{dy}{dt}-ty=1 and y(0)=1, \ then \: y(1) \: is \: equal \: to

  • Option 1)

    -\frac{1}{2}

  • Option 2)

    e+\frac{1}{2}

  • Option 3)

    e-\frac{1}{2}

  • Option 4)

    \frac{1}{2}

 
Using Linear Differential Equation - - wherein P, Q are functions of x alone.                                                                 Solution is: Put t = 0, y = 1 Put t = 1                  Option 1) This option is incorrect Option 2) This option is incorrect Option 3) This option is correct Option 4) This option is incorrect
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