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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.)
re(2): Observations and maybe solution | Comment 4 of 14 |
(In reply to re: Observations and maybe solution by Federico Kereki)

My own view was that I took an antiderivative, which is not the same thing as integrating.  Also, solving a differential equation is commonly known as integrating it.  Nevertheless, it seems you have something else in mind, and I will just be patient and hope to find out what that is before too long.  I don't see how there can be any simpler solution process than the one I gave, however, so I don't  see how a non-integration approach can be the answer to a maiden's prayer, so to speak.
  Posted by Richard on 2006-05-02 15:52:45

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