Message Boards Message Boards

0
|
3266 Views
|
2 Replies
|
2 Total Likes
View groups...
Share
Share this post:

Solve this differential equation and plot the solution?

Hi Could any one help me please to find the solution of this differential equation. enter image description here Its included in the Mathematica notebook

Attachments:
POSTED BY: Muhammad Afzal
2 Replies

Mathematica gives a correct, if complicated, symbolic answer in terms of an implicit function. You can extract the information and plot the solution this way:

sol = DSolve[y'[x] - Sqrt[20]/Sqrt[4 y[x]^(5/2) - 5 y[x]^2 + 1] == 0, 
   y[x], x];
f[y_, c_] = x /. First@Solve[sol[[1]] /. {y[x] -> y, C[1] -> c}, x];
xAsFunctionOfy[y_, c_] = f[y, c] - f[0, c];
ParametricPlot[{xAsFunctionOfy[y, 1], y}, {y, 0, 1}]
POSTED BY: Gianluca Gorni

Thank you I have learnt a lot from your advice, I really appreciate it. Regards

POSTED BY: Muhammad Afzal
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Reply Preview
Attachments
Remove
or Discard

Group Abstract Group Abstract