Question

T_T CLASS starting tomorrow! what is a Fourier series, and what is a general way i should learn to solve most 2nd and higher order ODEs and PDEs??

Answer 1

hey crocker

Answer 2

general is asking a little to much :)

Answer 3

i feel like i forgot everything about differential equations, what is a good place to start

Answer 4

that's like, what is the general way to solve an integral.

Answer 5

you ok with separation of variables?

Answer 6

yeah

Answer 7

its the stuff after i blank out.. those undetermined coefficient stuff and that cauchy something bs way

Answer 8

finding Eigen values/Eigen vectors

Answer 9

forgotten i will review that stuff though soon

Answer 10

I would start with simple non forced equations, then move to the forcing, then move to laplace

Answer 11

what do you mean "forced" equation

Answer 12

y''+2y=4
instead of
y''+2y=cos(x)

Answer 13

ahh ok

Answer 14

you are very helpful :)

Answer 15

I never did anything with Fourier series.

Answer 16

Yaaaa Laplace is the simplest imo

Answer 17

There are a few rules like Translation of the T-axis and translation of the s-axis but overall its quite fun once you are familiar with all the rules

Answer 18

Ummm for higher order equations we use reduction which is simply using substitution

Answer 19

yeah, super puzzle like:)

Answer 20

Homogeneous equations are equations that have the form y'+y=0 meaning the right hand side is always 0 while non homogeneous the right hand side can contain anything so it takes the form y'+y=g(t). Non homegenous are a lil more tedious to solve
The solution will take the form y=y_c+y_p

Answer 21

ok thanks :) iam starting my review now