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Mathomatic version 16.0.5
1−> **a=b+1/b
**#1: a = b + (1/b)
1−> **solve verify b
**Solving equation #1 for b with verification...
#1: b = (a - (((a^2 - 4)^(1/2))*sign))/2
All solutions verified.
1−> **a ; quick solve
**#1: a = (b^2 + 1)/b
1−> **simplify
**#1: a = b + (1/b)
1−> **derivative
**Differentiating the RHS with respect to b and simplifying...
#2: a' = 1 - (1/b^2)
2−> **integrate b
**Integrating the RHS with respect to b and simplifying...
#3: a = b + (1/b)
3−>
End of input.

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