Re: Second Order Differential Equations



On Mar 18, 6:50 pm, BeckyLou...@xxxxxxxxx wrote:
I am exploring a problem on exponential oil use and am having trouble
solving a second order differential equation. I am trying to find an
expression for f(t) in terms of t by solving f"(t)=.05f'(t). I am
using a made-up initial condition that f'(0)=10 billion barrels of
oil. Can anyone give me some insight?

I do have that d^2y/dx^2=.05 dy/dx obviously, =]

Hint: Do a change of variable. Let y' = u. Then y" = u'. Substitute
into the original equation to get a first order equation in u. Solve
that, and then, knowing u, solve y' = u.

Dave
.



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