Question

How do I solve this equation?

http://i.imgur.com/21EPQ.jpg

Answer 1

do I just sub in x/t for t?

Answer 2

I think it is change of variables, you have z= x/t or x=tz so
dx/dt= t dz/dt+z so now you substitute for dx/dt and for x (I think)

Answer 3

I see, I was getting confused by the (t). I'll try it out and see what happens.

Answer 4

Sorry, how did you get t*dz/dt+z

Answer 5

what class is this from I mean obviously calculus but is it like multivariable or something?

Answer 6

It's a module called introduction to differential equations from my college in Dublin, Ireland.

Answer 7

Um, the product rule.

Answer 8

Did the algebra not work out?

Answer 9

I just checked it and it does....

Answer 10

As in z(t) = u and t=v ?

Answer 11

Yes, you have z = x/t ie x= tz and you want dx/dt so

t dz/dt + z

Answer 12

My product rule will not work out, after that I know about to do, I can sub in my new terms back into the original equation and then terms will be cancel out.

Answer 13

I put it above
t * diff z + z * diff t (f'g + fg')