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12th Standard English Medium Maths Subject Ordinary Differential Equations Book Back 1 Mark Questions with Solution Part - II

12th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 5

    1 Marks

    5 x 1 = 5
  1. The number of arbitrary constants in the particular solution of a differential equation of third order is

    (a)

    3

    (b)

    2

    (c)

    1

    (d)

    0

  2. Integrating factor of the differential equation \(\frac{d y}{d x}=\frac{x+y+1}{x+1}\) is 

    (a)

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

    (b)

    x+1

    (c)

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

    (d)

    \({ \sqrt { x+1 } } \)

  3. The population P in any year t is such that the rate of increase in the population is proportional to the population. Then

    (a)

    P=Cekt

    (b)

    P=Ce-kt

    (c)

    P=Ckt

    (d)

    P=C

  4. If the solution of the differential equation \(\frac{d y}{d x}=\frac{a x+3}{2 y+f}\)represents a circle, then the value of a is

    (a)

    2

    (b)

    -2

    (c)

    1

    (d)

    -1

  5. The slope at any point of a curve y = f (x) is given by \(\frac{dy}{dx}=3x^2\) and it passes through (-1, 1). Then the equation of the curve is

    (a)

    y = x+ 2

    (b)

    y = 3x+ 4

    (c)

    y = 3x+ 4

    (d)

    y = 3x+ 5

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