You cause me pain. How can you even SAY "laplace transform" and still be struggling with this basic algebra?
Common Denominator. Add. Equate like terms. {shakes head}
I get A = 1/10 and B = 19/10. What do you get and how?
I am having trouble this this problem.
Heres the work I have up until where I get stuck:
partial fractions:
How do I solve this partial fraction equation now? I have tried it and I am ending up with a different answer than the solutions manual for B.
My other question is:
Find the fundeamental set of solutions using only real coefficients:
I get the steps:
I am lost as to where you get is equal to and how this works on a graph....
Thanks for the help guys, I really appreciate it!
Your four solutions for m are wrong.
Recall that
So
So the four solutions to m are, using n = 0, 1, 2, and 3:
I'll let you make the solutions look nicer.
-Dan
Edit: Whoops! I forgot about the factor of sqrt(2). Okay, so the final (simplified) solutions for m will be 1 + i, -1 + i, -1 - i, and 1 - i. Notice that this does generate the solution series given by your professor.
Ah, but if you were in my class, or if you were my department head, you would never take it as demotivational. You just can't see the huge smile on my face, the care and compassion in my eyes, and the personal commitment to make sure each student who cares is allowed to succeed and enabled to do so.