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Question -

Findthe equation of a curve passing through the point (0, 0) and whose differentialequation is.



Answer -

Thedifferential equation of the curve is:

Integratingboth sides, we get:

Substitutingthis value in equation (1), we get:

Now,the curve passes through point (0, 0).

Substituting in equation (2), we get:

Hence,the required equation of the curve is 

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