Insights Blog
-- Browse All Articles --
Physics Articles
Physics Tutorials
Physics Guides
Physics FAQ
Math Articles
Math Tutorials
Math Guides
Math FAQ
Education Articles
Education Guides
Bio/Chem Articles
Technology Guides
Computer Science Tutorials
Forums
Intro Physics Homework Help
Advanced Physics Homework Help
Precalculus Homework Help
Calculus Homework Help
Bio/Chem Homework Help
Engineering Homework Help
Trending
Featured Threads
Log in
Register
What's new
Search
Search
Search titles only
By:
Intro Physics Homework Help
Advanced Physics Homework Help
Precalculus Homework Help
Calculus Homework Help
Bio/Chem Homework Help
Engineering Homework Help
Menu
Log in
Register
Navigation
More options
Contact us
Close Menu
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Forums
Homework Help
Calculus and Beyond Homework Help
Differential Equations - Second Order
Reply to thread
Message
[QUOTE="1MileCrash, post: 4347152, member: 281922"] That equation is homogeneous, you only need to assume that V=e^rt, no need for the A, it would just be merged with an arbitrary constant. You then plug that into the DE, getting you what we call a characteristic equation (which will be a simple quadratic of r, I think you can do it easily.) Also, "assuming" [i]is[/i] mathematical. Because that's a great assumption. A function, plus its derivative, plus its second derivative, being zero, must be some function with a repetitive differentiation pattern. It's not just an "assume this because I say so." We make assumptions of the form of an equation and deduce the specifics of our assumption for the answer, all the time. Doing so is by far and wide the cleanest, most elegant way to solve this problem. [/QUOTE]
Insert quotes…
Post reply
Forums
Homework Help
Calculus and Beyond Homework Help
Differential Equations - Second Order
Back
Top