Class XII

General solution of a given differential equation
  1. contains exactly two arbitrary constants
  2. does not contain arbitrary constants
  3. contains exactly one arbitrary constant
  4. contains arbitrary constants depending on the order of the differential equation
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
To form a differential equation from a given function
  1. Differentiate the function once and add values to arbitrary constants
  2. Differentiate the function successively as many times as the number of arbitrary constants inthe given function and eliminate the arbitrary constants.
  3. Differentiate the function once and eliminate the arbitrary constants
  4. Differentiate the function twice and eliminate the arbitrary constants
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
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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