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Q.

If c1,c2,c3,c4,c5 are arbitrary constants, then the order of the differential equation whose general solution is y=(c1+c2)sin(x+c3)+c4ex+c5 , is ____________

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answer is 3.

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Detailed Solution

Given y=(c1+c2)sin(x+c3)+c4ex+c5⇒y=(c1+c2)sin(x+c3)+c4ec5ex

Order of the differential equation = Number of different arbitrary constants=3

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