Here's the question you clicked on:
Brandie
write in matrix form: x'=y, y'=x+4 my teacher has not gone over this, I need help
some sort of subject that this pertains to would help out as well
I am working with differential equations
diffy qs, thats a start :)
and is this the start of a problem or like midways thru?
sorry, full question: write each system of differential equations in matrix form, i.e. x'=Ax+b
let me look that up to see if im familiar with it by another name ...
this looks useful http://tutorial.math.lamar.edu/Classes/DE/SystemsDE.aspx
yeah, its actually helping me on other questions, but not this one. But thanks. :)
is your vector [x',y'] by chance?
idk, a vector was not mentioned
x'=0x+y+0 y'=x+0y+4 \[\binom{x'}{y'}=\begin{pmatrix}0&1&0\\1&0&4 \end{pmatrix}\binom{x}{y}\] maybe
matrixes are vectors ...
\[\binom{x'}{y'}=\begin{pmatrix}0&1\\1&0 \end{pmatrix}\binom{x}{y}+\binom{0}{4}\] maybe
We have the system \(x'=0x+y \) \(y'=x+0y+4\). We can write this as: \({x' \choose y'}=\left[\begin{matrix}0 & 1 \\ 1 & 0\end{matrix}\right]{x\choose y}+{0\choose 4}.\)
yay!! thats good enough for validation to me :)
really? i thought it was more involved than that, cool. Thanks guys!
Although I think it can be solved without finding any eigenvalues or eigenvectors.