rahidz2003
New member
- Joined
- Oct 1, 2005
- Messages
- 25
Ugh.
I'm doing a homework problem in my diff.eq. class, part of which asks, given certain initial conditions, to take the Laplace transform of a system of equations.
Here's the two equations (where a and b are functions of t):
2a'' = -4a + 3b
(9/4)b'' = 3a - (27/4)b
The initial conditions are :
a(0)=1
a'(0)=-1
b(0)=2
b'(0)=-2
Now, we learned how to take the Laplace transform of an equation, but a system of them? Our prof. never mentioned it before, and I can't find anything in the textbook either (the HW problem is part of an assignment packet). Later on in the same problem, we're supposed to use the result to find A(s) = L(a(s)), and then use that to find a(t)...but I think once I figure out how to start, that might be easier.
Thanks
I'm doing a homework problem in my diff.eq. class, part of which asks, given certain initial conditions, to take the Laplace transform of a system of equations.
Here's the two equations (where a and b are functions of t):
2a'' = -4a + 3b
(9/4)b'' = 3a - (27/4)b
The initial conditions are :
a(0)=1
a'(0)=-1
b(0)=2
b'(0)=-2
Now, we learned how to take the Laplace transform of an equation, but a system of them? Our prof. never mentioned it before, and I can't find anything in the textbook either (the HW problem is part of an assignment packet). Later on in the same problem, we're supposed to use the result to find A(s) = L(a(s)), and then use that to find a(t)...but I think once I figure out how to start, that might be easier.
Thanks