# HELLO I AM CURRENTLY IN DIFFERENTIAL EQUATIONS PLEASE EXPLAIN EACH STEP SO I CAN LEARN FROM...

###### 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.

Consider the system of differential equations regarding r = r(t), y = y(t), and z = z(t): I' = 011 3 + 212 y + 213 z y' = 221 x + 222 y + 223 2 z = 231 x + 232 y + 233 2 where 211, 212, .. , 033 are all real constants. Which of the following options could be a general solution of this system? 1 + C2 ܟ ܕܢ e6t (a) C (-1)-2+ 1 (b) C 1 e-2t + C2 5 5 [1 + C2 5 e6t + C3 0 (c) C . 1 (d) C1 3 + C2 5 e6t + C3 5 1-+ 0

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