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Question: Answered & Verified by Expert
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
MathematicsDifferential EquationsMHT CETMHT CET 2021 (23 Sep Shift 1)
Options:
  • A 3
  • B 4
  • C 2
  • D 1
Solution:
2642 Upvotes Verified Answer
The correct answer is: 3
$\mathrm{y}=\mathrm{a} \cos \mathrm{x}+\mathrm{b} \sin \mathrm{x}+\mathrm{c} \mathrm{e}^{-\mathrm{x}}$ Since the equation has 3 arbitrary constants, the order of differential equation is 3 .

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