Trying ChatGPT via Bing's Chat
(1) My first question asked for a solution to
y'(t) = k y(t) (b - y(t))
Right away Chat noticed that this was calculus and would involve exponential growth. Then it gave me links to references with examples of exponential growth and differential equations.
But the response was nothing like a solution, e.g., in TeX:
y(t) = { y(0) b e^{bkt} \over y(0) \big ( e^{bkt} - 1 \big ) + b }
So, Chat can respond with content about differential equations but can't actually solve an exercise in first calculus.
(2) I gave Chat the question:
Given triangle ABC, construct D on side AB and E on side BC so that the lengths AD = DE = EC.
Chat had no answer, not even a hint or clue, how to do that.
But it did present some materials on triangles, all either irrelevant or not better than trivially relevant.
My Response: For some queries Chat may be a little better than Bing or Google.
2 comments
[ 4.0 ms ] story [ 21.3 ms ] threadand the response: Given triangle ABC, we can construct D on side AB and E on side BC so that the lengths AD = DE = EC as follows:
Draw a line segment AC and construct its midpoint F. Draw a line segment BF and construct its midpoint G. Draw a line segment FG and extend it to intersect AC at point D. Draw a line segment BE and extend it to intersect AC at point E. Now, we have AD = DE = EC.
I hope this helps! Let me know if you have any other questions or if there’s anything else I can help you with.
> Draw a line segment FG and extend it to intersect AC at point D.