Question

ODE problem? http://i.imgur.com/v52SK.jpg

Answer 1

Not sure how to start this one off, the t^2*x is just confusing me.

Answer 2

Unless I need to use the product rule maybe.

Answer 3

factorize the right hand side then use separation of variables

Answer 4

\[\frac{\text dx}{\text dt}=1+t^2+x+t^2x\]

Answer 5

Ok so LHS=(t^2+1)+t^2*x

Answer 6

Sorry about this, the lag on this site is terrible, constantly needing to refresh the page, servers are a mess it seems.

Answer 7

try factorizing the right hand side again,

Answer 8

(1+t^2) (1+x)

Answer 9

Ah I see now, divide 1+x and multiply by dt.

Answer 10

thats right