O.D.E. Complementary and Particular Solution

  • Thread starter Thread starter kahless2005
  • Start date Start date
  • Tags Tags
    Particular solution
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
1 reply · 7K views
kahless2005
Messages
44
Reaction score
0
Not exactly homework, but it is a problem I'm having...

Im given an ode that reads:
y"-2y'-3y = 6;
[itex]y_c = C_1 * /exp^-x + C_2 * /exp^3x[/itex]
[itex]y_p[/itex] is -2

y(0) = 3
y'(0) = 11

Now I am tasked to find what [itex]C_1[/itex] and [itex]C_2[/itex] are.

I know that y(x) = [itex]y_c + y_p[/itex]
so:
y = [itex]C_1 * /exp^-x + C_2 * /exp^3x[/itex] - 2
and
y' = [itex]-C_1 * /exp^-x + 3 * C_2 * /exp^3x[/itex]

The book defines the answers as:
[itex]C_1[/itex] = 1 and [itex]C_2[/itex] = 4

Yet when I work it out, I've gotten [itex]C_1[/itex] = 2 and [itex]C_2[/itex] = 3.

What am I doing wrong?

NOTE: I hope I did the itex right... my computer isn't showing them... :biggrin:
 
Physics news on Phys.org
Nevermind... I got it to work. I had a simple Aritmatic Error