The order of the differential equation whose solution is $\mathrm{y}=\mathrm{a} \cos \mathrm{x}+\mathrm{b}…

The order of the differential equation whose solution is $\mathrm{y}=\mathrm{a} \cos \mathrm{x}+\mathrm{b} \sin \mathrm{x}+\mathrm{c} \mathrm{e}^{-\mathrm{x}}$ is
  1. 3
  2. 4
  3. 2
  4. 1

Solution

$\mathrm{y}=\mathrm{a} \cos \mathrm{x}+\mathrm{b} \sin \mathrm{x}+\mathrm{c} \mathrm{e}^{-\mathrm{x}}$ Since the equation has 3 arbitrary constants, the order of differential equation is 3 .

Asked in: MHT CET 2021 (23 Sep Shift 1)

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