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Differential Equations Test - 4
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Differential Equations Test - 4

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  • Question 1/10
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    Differential equations are equations containing functions y = f(x), g(x) and

    Solutions

    Differential equations are equations containing functions y = f(x), g(x) and derivatives of y with respect to x.

  • Question 2/10
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    General solution of a given differential equation

    Solutions

    General solution of a given differential equation contains arbitrary constants depending on the order of the differential equation.

  • Question 3/10
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    Find a particular solution of cos  

    Solutions


  • Question 4/10
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    Differential equation of the family of circles touching the y-axis at origin is

    Solutions



  • Question 5/10
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    Which of the following is a homogeneous differential equation?

    Solutions

    y2 dx  + (x2 − xy  − y2 ) dy  = 0 is a homogeneous differential equation ,because the degree of each individual term is same i.e. 2.

  • Question 6/10
    1 / -0.25

    Order of a differential equation is defined as

    Solutions

    Order of a differential equation is defined asthe order of the highest order derivative ofthe dependent variable.

  • Question 7/10
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    Particular solution of a given differential equation

    Solutions

    Particular solution of a given differential equationdoes not contain arbitrary constants i.e. a,b ,c etc.

  • Question 8/10
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    Find a particular solution of   = y tanx; y = 1 when x = 0

    Solutions


  • Question 9/10
    1 / -0.25

    Differential equation of the family of parabolas having vertex at origin and axis along positive y-axis is

    Solutions

  • Question 10/10
    1 / -0.25

    A first order linear differential equation. Is a differential equation of the form

    Solutions

    A first order linear differential equation. Is a differential equation of the form    + Py = Q or   + Px  = Q

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