Class XII

In a bank, principal increases continuously at the rate of 5% per year. An amount of Rs1000 is deposited with this bank, how much will it worth after 10 years (e0.5= 1.648).
  1. Rs 1948
  2. Rs 1648
  3. Rs 1748
  4. Rs 1848
The number of arbitrary constants in the general solution of a differential equation of fourth order are:
  1. 1
  2. 3
  3. 2
  4. 4
The number of arbitrary constants in the particular solution of a differential equation of third order are:
  1. 3
  2. 0
  3. 2
  4. 1
Degree of a differential equation, when the equation is polynomial equation in y′ is
  1. Lowest power (positive integral index) of the lowest order derivative in the given differential equation.
  2. Lowest power (positive integral index) of the highest order derivative in the given differential equation
  3. Highest (positive integral index) of the lowest order derivative in the given differential equation.
  4. Highest power (positive integral index) of the highest order derivative in the given differential equation.
Differential equations are equations containing functions y = f(x), g(x) and
  1. tangent of y at zero
  2. derivatives of y
  3. maxima of y
  4. minima of y
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