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
Particular solution of a given differential equation
  1. can contain exactly two arbitrary constants
  2. can contain arbitrary constants
  3. can contain exactly one arbitrary constant
  4. does not contain arbitrary constants
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
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
In a bank, principal increases continuously at the rate of r% per year. Find the value of r if Rs 100 double itself in 10 years (loge2 = 0.6931).
  1. 9.93%
  2. 8.93%
  3. 6.93%
  4. 7.93%
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