find the differential equation representing family of curves V=A/r+B ,where Aand B are arbitrary constants.

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Please find below the solution to the asked query:

We have:V=Ar+B ;iDifferentiating with respect to r we get,dVdr=-Ar2 ;iiAgain differentiating with respect to r we get,d2Vdr2=--2Ar3d2Vdr2=2Ar3Using ii we get:d2Vdr2=2r3-dVdr.r2d2Vdr2=-2rdVdrd2Vdr2+2rdVdr=0

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  • 53
Differentiate it two times & put value of A from first order derrivative ,
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