alleryThe **general solution** of a differential equation contains:
ANo arbitrary constants
BAs many arbitrary constants as the order of the equation
CExactly one arbitrary constant always
DMore constants than the order of the equation
Answer & Solution
Correct answer: B. As many arbitrary constants as the order of the equation
An $n$-th order DE has a general solution with $n$ arbitrary constants.
Particular solutions arise when constants are fixed by initial/boundary conditions.
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Related questions
For the linear DE dy/dx + (1/x)y = x, the INTEGRATING FACTOR μ(x) is:Complete the definition of order and degreeComplete the definition of a differential equationOrder, degree, or neither?True or false: methods of solutionRecognising the typeGeneral solution or particular solution?True or false: what a solution is