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Look Ma, no integrals! (Posted on 2006-05-02) Difficulty: 3 of 5
The professor wrote the differential equation f²/f'=1 on the blackboard, and asked the students to solve it.

Everybody started working with the usual methods, except for a kid at the back of the class, who happened to have skipped that material, but was very bright.

Can you solve this equation without any integration?

See The Solution Submitted by Federico Kereki    
Rating: 3.7500 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Combined Approach | Comment 10 of 14 |
Combining Oskar's approach with my observation that the equation is the same as -(1/f)'=1, assuming that- 1/f is a power series immediately gives the result that -1/f=c+x.
  Posted by Richard on 2006-05-02 20:01:41
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