JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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Analyzing +4 | -1

The order of the differential equation associated with the primitive

y = {c_1} + {c_2}{e^x} + {c_3}{e^{ - 2x + {c_4}}}

, where

{c_1},{c_2},{c_3},{c_4}

are arbitrary constants, is

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Correct option: A

Option A (3) is correct because the primitive can be simplified to have three arbitrary constants, thus the order of the differential equation is 3.

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\lim \limits_{{x \rightarrow \infty}} y(t)