Class XII

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.
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%
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
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
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
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