Question

HELLO

I AM CURRENTLY IN DIFFERENTIAL EQUATIONS

PLEASE EXPLAIN EACH STEP SO I CAN LEARN FROM YOU (I KNOW SOME PEOPLE ONLY CARE ABOUT TEH ANSWER, BUT WILL REALLY APPRECIATE IT) TO SAVE TIME FEEL FREE TO JUST SAY A LAW, THEOREM, OR CONCEPT FOR AN EXPLANATION AND I CAN GO AHEAD AND STUDY IT ON MY OWN.

i REALLY DO READ THESE VERY CAREFULLY AND USE THE COMMENTS OFTEN, SO JUST A LITTLE HEADS UP.

I FIND IT DIFFICULT TO READ HANDWRITTEN STUFF SO IF YOU CAN DO IT ELECTRONICALLY THAT WOULD BE FANTASTIC.

PLEASE TAKE YOUR TIME AND STAY SAFE OUT THERE.

2 Consider the linear system of initial value problems: x = Then (1) is: [1 3 B x with (0) = [-] [2e2 – 2e5 (a) [2e -e? + 6e5 (b) (c) - 2e2 + 2e-57 -e? – 6e-5 2e2 - 2e-5 -e? + 6e-5 -2e2 + 2e-57 -e? - 6e-5 (d)

Answer 1

20 DATE: PAGE No Ipage-31 Let X, is eigen vector cesresponding to --5- [A-d, I] X₂ Tts 2 Xo 3 -4+5- 6 2 X - 3 G 2 3 R R₂ - IR 2 6 2 X e 2. Tx 6x + 2y = 0 sety fet x-k y -36 KEIR . k -BK take k = 1 H -3