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Q.

The order of the differential equation whose general solution is given by y=C1+C2cos⁡x+C3−C4ex+C5  where C1,C2,C2,C4,C5 are arbitrary constant is

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answer is 3.

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Detailed Solution

Since C1+C2 is one constant C4ex+C5=C1eC5exThus there are three arbitrary constants. So the order of the differential equation is 3.
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The order of the differential equation whose general solution is given by y=C1+C2cos⁡x+C3−C4ex+C5  where C1,C2,C2,C4,C5 are arbitrary constant is