Group Abstract Group Abstract

Message Boards Message Boards

0
|
6.3K Views
|
1 Reply
|
1 Total Like
View groups...
Share
Share this post:

DSolve & DSolveValue producing an unusual multiplier in solution?

Posted 6 years ago

When using DSolve or DSolveValue in calculating a solution for y’’ + 5y’ == 0, I am getting the answer of C1 -1/5 e^(-5x) + C2 – see attached. I have solved this equation several different ways using different methods without generating the -1/5 multiplier and cannot understand what is generating the –1/5 multiplier using DSolve and DSolveValue.

In testing, it appears that the solution given by DSolve and DSolveValue is in fact a valid solution but it just seems unnecessary for the additional multiplier.

Most likely the confusion is because of something that I do not understand so I would certainly appreciate some clarification as to why the multiplier is being generated.

Thanks so much,

Mitch Sandlin

Attachments:
POSTED BY: Mitchell Sandlin

Try integrating the solution to u'[x] + 5u[x] == 0 (u[x] = y'[x]). Of course -1/5 * C[1] is an arbitrary constant, and so may be replaced by single parameter.

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