#differantial equation

32 messages · Page 1 of 1 (latest)

twilit wraithBOT
#
  1. Ask your question and show the work you've done so far. If you've posted a screenshot of a question, specify which part you need help with.
  2. Wait patiently for a helper to come along.
  3. Once someone helps you, say thank you and close the thread with:
    +close
  4. Feel free to nominate the person for helper of the week in #helper-nominations
  5. Do not ping the mods, unless someone is breaking the rules.
  6. If you're happy with the help you got here, and the server overall, you can contribute financially as well:
umbral iris
#

Is it correct?

kindred grove
#

,w integral y(1-y^2)^(-0.5)

versed lakeBOT
kindred grove
#

missing the +- but that looks correct

umbral iris
#

@kindred grove

kindred grove
#

yes, the potential is $\Psi(x,y)=e^y\sin(x)+y^2\cos(x)+C$

versed lakeBOT
#

Omegabet_

186109587366215691.png
kindred grove
#

no reason to solve for y since you cant

umbral iris
kindred grove
#

sure

#

never seen exact ODEs be solved that way, but sure

umbral iris
#

And my last question and probably hardest one

#

@kindred grove

kindred grove
#

variation of parameters is just a formula to follow

#

but also your final solutuon family is wrong

#

there are infinitely many solutions, you've only listed 1

#

$y=Ae^x+Bxe^x+y_p(x)$

versed lakeBOT
#

Omegabet_

186109587366215691.png
umbral iris
#

Ohh okey thank you

umbral iris
kindred grove
#

neither, you just solved it as a seperable ODE

umbral iris
kindred grove
#

no clue, ask your prof about their marking

umbral iris
kindred grove
#

ok

#

tough luck then ig, read the instructions next time

umbral iris
kindred grove
#

you also dont have to ping someone every single message