Formation of Ordinary Differential Equations by Elimination of Arbitrary Constants MCQ

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• In the equation, y = x2+c,c is known as the parameter and x and y are known as the main variables.
  ক

  True

  খ

  False
• A rectangular frame is to be made of 240 cm long. Determine the value of the length of the rectangle required to maximize the area.
  ক

  24 cm

  খ

  60 cm

  গ

  240 cm

  ঘ

  120 cm
• What is the differential equation of a family of parabolas with the foci at the origin and axis along the X-axis?
  ক

  2xy’+ 4y(y’)2-y=0

  খ

  xy’+ y(y’)2-y=0

  গ

  2xy’+ y(y’)2-y=0

  ঘ

  2xy’+2y(y’)2-y=0
• In the formation of differential equation by elimination of arbitrary constants, after differentiating the equation with respect to independent variable, the arbitrary constant gets eliminated.
  ক

  False

  খ

  True
• Which of the following is true with respect to formation of differential equation by elimination of arbitrary constants?
  ক

  The given equation should be differentiated with respect to independent variable

  খ

  Elimination of the arbitrary constant by replacing it using derivative

  গ

  If ‘n’ arbitrary constant is present, the given equation should be differentiated ‘n’ number of times

  ঘ

  To eliminate the arbitrary constants, the given equation must be integrated with respect to the dependent variable