Non-homogeneous System of DE - Made Easy

Detailed solution to a system of non-homogeneous system of differential equations using matrices.

[erdemahsen]

thx bud our teacher was teaching it in an extremely formal way so didn't understand a thing till I watch this. thx again <3

[ralu]

Thank you very much! This helped me a lot ^^ I couldn't find any video on this subject. I have a question, I'm not sure if what I did it's right.
If I have a system of DE like this one
y'1=4*y1+6*y2
y'2=2*y1+3*y2+x
how does the matrix for the yp look? like this ({0}, {1})?

[robertoberidojr.]

Suddenly this comes out. Real great help

[robertreynolds]

Thanks for posting. I used to have the same problem mispronouncing "homogeneous" (or "non-..."). Consequently I also misspelled it occasionally, as you have at the top of your whiteboard. Think "genius" when you pronounce it, and you can probably correct this tendency over time. Just trying to help.

[ashsmash]

Will the particular way work for e^(-t)? any other sort of g(t)?

[CalebRosa-qbqy]

my prof would get so mad if I said homogenous instead of the correct homogeneous.