reconrusty
New member
- Joined
- Dec 13, 2017
- Messages
- 3
I have a problem I just can't seem to get right.
(t^2 + 16)dx/dt = (x^2 + 36)
So I know you have to get all the x's to one side and the t's to the other so I got this:
1/(x^2 + 36) dx = 1/(t^2 + 16) dt
Differentiate each side and you get:
1/6arctan(x) = 1/4arctan(t/4) + C
Now the part where im confused is how to isolate for x = ...
I got arctan(x/6) = 6(1/4arctan(t/4) + C) and don't know how to proceed from here.
Any help?
(t^2 + 16)dx/dt = (x^2 + 36)
So I know you have to get all the x's to one side and the t's to the other so I got this:
1/(x^2 + 36) dx = 1/(t^2 + 16) dt
Differentiate each side and you get:
1/6arctan(x) = 1/4arctan(t/4) + C
Now the part where im confused is how to isolate for x = ...
I got arctan(x/6) = 6(1/4arctan(t/4) + C) and don't know how to proceed from here.
Any help?