Differential Equations Quiz

15 Questions | Total Attempts: 348

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Differential Equations Quiz

Time: 30 Minute


Questions and Answers
  • 1. 
    Write the differential equation representing the family of curves y = mx, where m is an arbitrary constant.
    • A. 

      Xdy – ydx = 0

    • B. 

      Xdy – dx = 0

    • C. 

      Xdy + ydx = 0

    • D. 

      Dy – ydx = 0

  • 2. 
    Form the differential equation of the family of parabolas having vertex at the origin and axis along positive y-axis.
    • A. 

      Xy’ – y = 0

    • B. 

      Xy’ + 2y = 0

    • C. 

      Xy’ – 7y = 0

    • D. 

      Xy’ – 2y = 0

  • 3. 
    Find the solution of the differential equation:
    • A. 
    • B. 
    • C. 
    • D. 
  • 4. 
    Find the particular solution of the differential equation:
    • A. 
    • B. 
    • C. 
    • D. 
  • 5. 
    Find the solution of the differential equation:
    • A. 
    • B. 
    • C. 
    • D. 
  • 6. 
    Find the particular solution of the differential equation (tan-1y- x) dy = (1+y2) dx, given that when x = 0. y = 0.
    • A. 
    • B. 
    • C. 
    • D. 
  • 7. 
    Find the solution of the differential equation:
    • A. 
    • B. 
    • C. 
    • D. 
  • 8. 
    Find the solution of the differential equation:
    • A. 
    • B. 
    • C. 
    • D. 
  • 9. 
    Find the equation of circles in second quadrant which touches the coordinate axis?
    • A. 
    • B. 
    • C. 
    • D. 
  • 10. 
    Find the particular solution of the differential equation:
    • A. 
    • B. 
    • C. 
    • D. 
  • 11. 
    Find the solution of the differential equation:
    • A. 
    • B. 
    • C. 
    • D. 
  • 12. 
    Find the solution of the differential equation:
    • A. 
    • B. 
    • C. 
    • D. 
  • 13. 
    Solve the following differential equation:
    • A. 

      Y = 4 sinx – 2sinx

    • B. 

      Y = 4 sin3x – 2 sin2x

    • C. 

      Y = 4 sin3x + 2 sin2x

    • D. 

      Y = 2 sin3x – sin2x

  • 14. 
    Solve the following differential equation:
    • A. 
    • B. 
    • C. 
    • D. 
  • 15. 
    Find the solution of the differential equation:
    • A. 
    • B. 
    • C. 
    • D.