Question

x(x-2)y'+2y+=0 by using linear differential equation

Answer 1

divide by x(x-2)

Answer 2

\[y'+\frac{2}{x^2-2x}y=0\]

Answer 3

find the integration factor \[\mu(t)\]

Answer 4

what's the p(x) and Q(x)?

Answer 5

there is no q(x) since this is an order 1 linear

Answer 6

\[p(x)=\frac{2}{x^2-2x}\]

Answer 7

should i use partial fraction ?

Answer 8

yes

Answer 9

don't multiply it like i did

Answer 10

ok ,

Answer 11

so the answer must be y(x-2)=cx?

Answer 12

what did you get from the integration factor