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write in matrix form: x'=y, y'=x+4
my teacher has not gone over this, I need help
 2 years ago
 2 years ago
write in matrix form: x'=y, y'=x+4 my teacher has not gone over this, I need help
 2 years ago
 2 years ago

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amistre64Best ResponseYou've already chosen the best response.1
some sort of subject that this pertains to would help out as well
 2 years ago

BrandieBest ResponseYou've already chosen the best response.0
I am working with differential equations
 2 years ago

amistre64Best ResponseYou've already chosen the best response.1
diffy qs, thats a start :)
 2 years ago

amistre64Best ResponseYou've already chosen the best response.1
and is this the start of a problem or like midways thru?
 2 years ago

BrandieBest ResponseYou've already chosen the best response.0
sorry, full question: write each system of differential equations in matrix form, i.e. x'=Ax+b
 2 years ago

amistre64Best ResponseYou've already chosen the best response.1
let me look that up to see if im familiar with it by another name ...
 2 years ago

amistre64Best ResponseYou've already chosen the best response.1
this looks useful http://tutorial.math.lamar.edu/Classes/DE/SystemsDE.aspx
 2 years ago

BrandieBest ResponseYou've already chosen the best response.0
yeah, its actually helping me on other questions, but not this one. But thanks. :)
 2 years ago

amistre64Best ResponseYou've already chosen the best response.1
is your vector [x',y'] by chance?
 2 years ago

BrandieBest ResponseYou've already chosen the best response.0
idk, a vector was not mentioned
 2 years ago

amistre64Best ResponseYou've already chosen the best response.1
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
 2 years ago

amistre64Best ResponseYou've already chosen the best response.1
matrixes are vectors ...
 2 years ago

amistre64Best ResponseYou've already chosen the best response.1
\[\binom{x'}{y'}=\begin{pmatrix}0&1\\1&0 \end{pmatrix}\binom{x}{y}+\binom{0}{4}\] maybe
 2 years ago

Mr.MathBest ResponseYou've already chosen the best response.1
We have the system \(x'=0x+y \) \(y'=x+0y+4\). We can write this as: \({x' \choose y'}=\left[\begin{matrix}0 & 1 \\ 1 & 0\end{matrix}\right]{x\choose y}+{0\choose 4}.\)
 2 years ago

amistre64Best ResponseYou've already chosen the best response.1
yay!! thats good enough for validation to me :)
 2 years ago

BrandieBest ResponseYou've already chosen the best response.0
really? i thought it was more involved than that, cool. Thanks guys!
 2 years ago

Mr.MathBest ResponseYou've already chosen the best response.1
Although I think it can be solved without finding any eigenvalues or eigenvectors.
 2 years ago
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