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Differential Equations — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDifferential Equations1 Mark
MCQ
Which of the following are true?
  • ✓
    Particular solution is a solution of a differential equation containing no arbitrary constants.
  • B
    Particular Solution is a solution to a differential equation that contains arbitrary, unevaluated constants.
  • C
    General solution is a solution of a differential equation containing no arbitrary constants.
  • D
    General Solution is a solution to a differential equation that contains arbitrary, unevaluated constants.
✓

Answer

Correct option: A.
Particular solution is a solution of a differential equation containing no arbitrary constants.
The general solution to a differential equation contains arbitrary constants which can be any value and the number of arbitrary constants is the order of the differential equation.
We can determine the values of arbitrary constants with an initial value condition like a point through which the curve passes etc.

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