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Whic of the following is not a solution of Y=xdy/dx +edy/dx

Whic of the following is not a solution of Y=xdy/dx +edy/dx

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Grade:12th pass

1 Answers

Aditya Gupta
2081 Points
3 years ago
dear student, this ques is very easy.
first note that option A y=cx+e^c clearly satisfies the given DE, bcoz dy/dx= c.
now since c is an arbitrary constant, we can replace c by ANY other form of constant, which has been done in options B and D as c is replaced by tanc and tan-1c respectively.
But in option C, one of them is tanc while power of e is tan-1c, which are different forms of c, hence this is incorrect and doesnt satisfy the given DE.
option C
KINDLY APPROVE :))

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