Q. 14

Mark the correct alternative in each of the following:

The solution of the differential equation y1y3 = y22 is

A. x = C1 eC2 y + C3

B. y = C1 eC2 x + C3

C. 2x = C1 eC2 y + C3

D. none of these

Answer :

y1y3 = y22

We can write above differential equation as


y' y’’’ = (y’’)2




Integrating both sides we get,






Again, integrating both sides we get,





Again, integrating both sides we get,




The solution of the differential equation is



=(B)

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