(1) Consider the initial value problem
dx/dt = -1/tx
, x(−1) = 1
(a) Use an analytic method to ﬁnd an explicit solution for this
problem. What is the domain of deﬁnition for this solution?
(1) Consider the initial value problem
dx/dt = -1/tx
, x(−1) = 1
(a) Use an analytic method to ﬁnd an explicit solution for this
problem. What is the domain of deﬁnition for this solution?
What does it mean to "use an analytic method"?
This is a separable DE
, where
Now use the initial condition to find C.
Last edited by mr fantastic; Sep 20th 2009 at 03:17 PM.
Reason: Added close tag on last line of latex
Luckily however, the solution you were given does not lead to this number .... (In other words, read the given answer more carefully).
Last edited by mr fantastic; Sep 20th 2009 at 07:43 PM.
Reason: Saying "Yes. It is" (ie. agreeing with what the OP said) might be confused with "Yes. It is defined" (which I'm NOT saying).