ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Sun, 09 Jan 2022 07:41:46 +0100Implicit Differentiation help?https://ask.sagemath.org/question/60575/implicit-differentiation-help/ How can I prove that dy/dx = x^3 + x is equal to y = x^4/4 + x^2/2 + C using SageMath?
I'm interested in merging SageMath and LaTeX together in some way to help with my note-taking skills for college coming up. Thanks!Sat, 08 Jan 2022 02:41:57 +0100https://ask.sagemath.org/question/60575/implicit-differentiation-help/Comment by slelievre for <p>How can I prove that dy/dx = x^3 + x is equal to y = x^4/4 + x^2/2 + C using SageMath?</p>
<p>I'm interested in merging SageMath and LaTeX together in some way to help with my note-taking skills for college coming up. Thanks!</p>
https://ask.sagemath.org/question/60575/implicit-differentiation-help/?comment=60590#post-id-60590Welcome to Ask Sage! Thank you for your question.Sun, 09 Jan 2022 07:37:30 +0100https://ask.sagemath.org/question/60575/implicit-differentiation-help/?comment=60590#post-id-60590Answer by slelievre for <p>How can I prove that dy/dx = x^3 + x is equal to y = x^4/4 + x^2/2 + C using SageMath?</p>
<p>I'm interested in merging SageMath and LaTeX together in some way to help with my note-taking skills for college coming up. Thanks!</p>
https://ask.sagemath.org/question/60575/implicit-differentiation-help/?answer=60591#post-id-60591Combining SageMath with LaTeX can be done with:
- SageTeX
- PythonTeX
- texsurgery
You could also have a look into TeXmacs and its SageMath package.
To solve the differential equation:
sage: y = function('y')(x)
sage: de = diff(y, x) == x^3 + x
sage: desolve(de, y)
1/4*x^4 + 1/2*x^2 + _C
Sun, 09 Jan 2022 07:41:46 +0100https://ask.sagemath.org/question/60575/implicit-differentiation-help/?answer=60591#post-id-60591