Differential Equations Two Marks Question

12th Standard EM

    Reg.No. :
  •  
  •  
  •  
  •  
  •  
  •  

Business Maths

Time : 00:45:00 Hrs
Total Marks : 30
    15 x 2 = 30
  1. Form the differential equation by eliminating α and β from (x − α)2 + (y − β)2 = r2

  2. Find the differential equation of the family of all straight lines passing through the origin.

  3. Solve the following differential equations (D2+D−6)y=e3x + e−3x

  4. Solve the following differential equations (D2−10D+25)y=4e5x + 5

  5. Solve (D2-3D+2)y =e4x given y=0 when x=0 and x=1.

  6. Find the order and degree of the following differential equations.
    \(\frac { d^{ 2 }y }{ { dx }^{ 2 } } =\sqrt { y-\frac { dy }{ dx } } =0\)

  7. Find the order and degree of the following differential equations.
    \({ \left( \frac { dy }{ dx } \right) }^{ 3 }+y=x-\frac { dx }{ dy } \)

  8. Solve: \(\frac { a+{ x }^{ 2 } }{ 1+y } =xy\frac { dy }{ dx } \)

  9. Solve: \(\frac { dy }{ dx } \) + ex+ye= 0

  10. Write down the order and degree of the following differential equations.
    \(\left( \frac { dy }{ dx } \right) ^{ 2 }-7\frac { d^{ 3 }y }{ { dx }^{ 3 } } +y\frac { { d }^{ 2 }y }{ dx^{ 2 } } +4\frac { dy }{ dx } \)-logx=0

  11. Write down the order and degree of the following differential equations.
    \(\left[ 1+\left( \frac { dy }{ dx } \right) ^{ 2 } \right] ^{ \frac { 2 }{ 3 } }=\frac { d^{ 2 }y }{ { dx }^{ 2 } } \)

  12. Find the differential equation for y=mx+\(\frac { a }{ m } \) where m is arbitrary constant.

  13. Solve: x dy +y dx = 0

  14. The change in the cost of ordering and holding C as quantity q is given by \(\frac { dC }{ dq } =a-\frac { c }{ q } \) where a is a Constanst. Find C as a function of q.

  15. Solve: 3\(\frac { { d }^{ 2 }y }{ dx^{ 2 } } -5\frac { dy }{ dx } \)+2y=0

*****************************************

TN 12th Standard EM Business Maths free Online practice tests

Reviews & Comments about 12th Business Maths Chapter 4 Differential Equations Two Marks Question

Write your Comment