Basic Definitions MCQ

Test your knowledge with important Basic Definitions MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30 + more Basic Definitions MCQs at Bissoy

• Solution of a differential equation is any function which satisfies the equation.
  ক

  False

  খ

  True
• Which of the following is not a standard method for finding the solutions for differential equations?
  ক

  Variable Separable

  খ

  Homogenous Equation

  গ

  Bernoulli’s Equation

  ঘ

  Orthogonal Method
• Which of the following is not an example of linear differential equation?
  ক

  y=mx+c

  খ

  x+x’=0

  গ

  x+x2=0

  ঘ

  x”+2x=0
• Which one of the following is not a criterion for linearity of an ordinary differential equation?
  ক

  The dependent variable y and its derivatives are of first degree

  খ

  The derivatives of the dependent variable y should be of second degree

  গ

  No product terms of y and/or any of its derivatives are present

  ঘ

  No transcendental functions of y and/or its derivatives occur
• What is the degree of the differential equation, 4x3-6x2 y3+2y=0?
  ক

  3

  খ

  5

  গ

  1

  ঘ

  8
• What is the order of the differential equation, y”+y’-x3y=sinx?
  ক

  2

  খ

  1

  গ

  0

  ঘ

  3
• Which of the following correctly defines ordinary differential equations?
  ক

  A differential equation in which a dependent variable (say ‘y’) depends on only one independent variable (say ’x’)

  খ

  A differential equation in which an independent variable (say ‘y’) depends on only one dependent variable (say ’x’)

  গ

  A differential equation in which a dependent variable (say ‘y’) depends on one or more independent variables (say ’x’, ’t’ etc.)

  ঘ

  A differential equation in which an independent variable (say ‘y’) depends on one or more dependent variables (say ’x’, ’t’ etc.)