rtoy
commented
4 months ago Imported from SourceForge on 2024-07-06 23:16:33 Created by villate on 2015-05-08 15:10:09 Original: https://sourceforge.net/p/maxima/bugs/2956/#6947
This is not a bug. Integrate is not supposed to solve differential equations, but simply find the anti-derivative of an expression. When you give an equation to integrate (instead of an expression), it will simply find the anti-derivative of the expression on each side separately. Try integrating each of the expressions on each side of the equation separately, to see what I mean. In order to "integrate" an equation, you should use a program for differential equations, such as ode2.
Imported from SourceForge on 2024-07-06 23:16:31 Created by sslavi on 2015-05-08 14:05:43 Original: https://sourceforge.net/p/maxima/bugs/2956
I am sorry for having to post this question here, but the discussion section of Sourceforge/Maxima seem to be inoperative and unavailable.
Please take a look at these two examples: Example n.1: (%i1) diff(y(x),x)=y(x); integrate(%,x); (%o1) 'diff(y(x),x,1)=y(x) (%o2) y(x)=integrate(y(x),x)+%c1
Example n.2: (%i2) diff(y(x),x)/y(x)=1; integrate(%,x); (%o3) 'diff(y(x),x,1)/y(x)=1 (%o4) log(y(x))=x+%c2
Both input functions are the same, just expressed in slightly different manner. However, in the first case the integral doesn't get evaluated, while in the second case it does, and the function y(x) can be determined.
What is going on here? Is it a bug or am I missing something about how Maxima decides the form of the results to be returned? Thanks in advance.
Cheers
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