Q.

The order of the differential equation whose general solution is given by y=c1+c2cos⁡x+c3−c4ex+c5 where c1,c2,c3,c4,c5 arearbitraryconstantsis

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a

5

b

4

c

3

d

2

answer is C.

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Detailed Solution

c1+c2=A,c4ec5=By=Acos⁡x+c3−Bex, three arbitrary contents ⇒ order =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,c3,c4,c5 arearbitraryconstantsis