For the differential equation $\frac{d^3 y}{d x^3}=0$, $y=a x^2+b x+c$ is

For the differential equation $\frac{d^3 y}{d x^3}=0$, $y=a x^2+b x+c$ is
  1. the general solution
  2. a particular solution
  3. not a solution
  4. a solution, but not a particular solution

Solution

Obviously, $y=a x^2+b x+c$ is a general solution of the given differential equation. Hence, option (a).

Asked in: AP EAMCET 2022 (07 Jul Shift 1)

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