Differential Equations Book Back Questions

12th Standard EM

    Reg.No. :
  •  
  •  
  •  
  •  
  •  
  •  

Business Maths

Time : 00:45:00 Hrs
Total Marks : 30
    5 x 1 = 5
  1. The degree of the differential equation \(\frac { { d }^{ 4 }y }{ { dx }^{ 4 } } { -\left( \frac { { d }^{ 2 }y }{ { dx }^{ 2 } } \right) }^{ 4 }+\frac { dy }{ dx } =3\)

    (a)

    1

    (b)

    2

    (c)

    3

    (d)

    4

  2. The differential equation formed by eliminating a and b from y=ae+ be−x is

    (a)

    \(\frac { { d }^{ 2 }y }{ { dx }^{ 2 } } -y=0\)

    (b)

    \(\frac { { d }^{ 2 }y }{ { dx }^{ 2 } } -\frac { dx }{ dy } =0\)

    (c)

    \(\frac { { d }^{ 2 }y }{ { dx }^{ 2 } } =0\)

    (d)

    \(\frac { { d }^{ 2 }y }{ { dx }^{ 2 } } -x=0\)

  3. The differential equation of y = mx + c is (m and c are arbitrary constants)

    (a)

    \(\frac { { d }^{ 2 }y }{ d{ x }^{ 2 } } \) = 0

    (b)

    y = x \(\frac { dy }{ dx } \) + c

    (c)

    xdy + ydx = 0

    (d)

    ydx − xdy = 0

  4. The integrating factor of x \(\frac { dy }{ dx } \) - y = x2 is

    (a)

    \(\frac {-1}{x}\)

    (b)

    \(\frac {1}{x}\)

    (c)

    log x

    (d)

    x

  5. The differential equation of x+ y= a2

    (a)

    xdy + ydx = 0

    (b)

    ydx – xdy = 0

    (c)

    xdx – ydx = 0

    (d)

    xdx + ydy = 0

  6. 3 x 2 = 6
  7. Form the differential equation that represents all parabolas each of which has a latus rectum 4a and whose axes are parallel to the x axis.

  8. Find the differential equation of the family of parabola with foci at the origin and axis along the x-axis.

  9. Solve: (1 − x)dy − (1 + y)dx = 0

  10. 3 x 3 = 9
  11. Find the differential equation corresponding to y=ae4x + be−x where a, b are arbitrary constants.

  12. Solve (D2−3D−4)y = 0

  13. Solve : (D2−4D−1)y = e−3x

  14. 2 x 5 = 10
  15. The sum of Rs. 2,000 is compounded continuously, the nominal rate of interest being 5% per annum. In how many years will the amount be double the original principal? (loge2 = 0.6931)

  16. Solve \(\frac { dy }{ dx } \) −3ycotx=sin2x given that y = 2 when x = \(\frac { \pi }{ 2 } \)

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

TN 12th Standard EM Business Maths free Online practice tests

Reviews & Comments about 12th Standard Business Maths Differential Equations Book Back Questions

Write your Comment