- #1
driven4rhythm
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Homework Statement
I've started differential equations and I'm trying to understand the how to figure out if an equation is linear or not. The relevant equation I don't really understand either.
Homework Equations
http://img138.imageshack.us/img138/4158/8ac6f972e84a7e33c291f42.png
The Attempt at a Solution
y' means dy/dt
1. (t^2)y'' + ty' +2y = sin(t) I said it's non linear (wrong)
2. (1+y^2)y'' + ty' +y = e^t I said linear (wrong)
3. y''''+y'''+y'' + y' + y = 1 I said linear (right) I get this because it follows along with the relevant equation from what I can tell.
4. y' + ty^2 =0 I said linear (wrong)
5. y'' + sin(t+y) = sin(t) I said non linear (right) I get this, I think, because of the sin(t+y)
6. y''' + ty' + cos^2(t)y = t^3 I said non linear (wrong)
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