Question

Differential equation problem

Answer 1

I know how to prove this but it's not working out for me.

Answer 2

I multiplied each term by the integration factor.

Answer 3

I know that if I derive the \[(t ^{2}-1)x\] using the product rule I should get LHS

Answer 4

I have \[(t ^{2}-1)dx/dt +2t = (t ^{2}-1)cost\]

Answer 5

Using the product rule, I should get the above line. I learnt based on this example I found on youtube and it works all the time except this time! http://youtu.be/HAb9JbBD2ig

Answer 6

did you get the integrating factor correctly ?

Answer 7

looks like it works to me, youre missing an x in the 2nd term

Answer 8

I am an IDIOT >.<

Answer 9

was the integrating factor t^2-1?

Answer 10

don't be so hard on yourself, we've all been there.