Let \(y=y(x), y>0\), be a solution curve of the differential equation \(\left(1+x^2\right) d ....

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Madam, we have found out the value of C = 1. So we cant write 1 = logC which you have written in 9 min 47 sec. Instead, we can take log on both sides and it will become e to the power 3B^-1 = e to the power log( 3 +2root2) +1 and then solve. Else your explanation is very very well.

pradipdhar