Thread: Solve dt/dx=(at+m)/(bt+j)

how do I solve dt/dx=(at+m)/(bt+j) where a, b, m, and j are constants?

I thought of using separable equations but then I got stuck.

(So bt+j/at+m)dt=dx....

Originally Posted by Taurus3

how do I solve dt/dx=(at+m)/(bt+j) where a, b, m, and j are constants?

I thought of using separable equations but then I got stuck.

(So bt+j/at+m)dt=dx....

Basically you need to do the integral:


Split up the fraction:




Can you take it from here?

-Dan

ummm.....it's still a bit confusing of how you do the integrals with all those different constants...

Originally Posted by Taurus3

ummm.....it's still a bit confusing of how you do the integrals with all those different constants...

Then make the integrals like simpler by substituting . If you're studying differential equations you're expected to know how to integrate!

If you need more help please show all your working and say where you are stuck.