Please help. Solve

dx/dt + y = sint , x(0)=2

dy/dt + x = cost , y(0)=0

this is one problem that comes in my laplace transform chapter. Any method can be used

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- Nov 26th 2010, 06:47 PMrafi98System of DE's.
Please help. Solve

dx/dt + y = sint , x(0)=2

dy/dt + x = cost , y(0)=0

this is one problem that comes in my laplace transform chapter. Any method can be used - Nov 26th 2010, 07:09 PMProve It
From DE 1:

.

Substituting into DE 2:

.

Now, the characteristic equation is

.

So the solution to the homogeneous equation is .

Follow a similar process to find . - Nov 26th 2010, 07:19 PMrafi98
- Nov 26th 2010, 07:26 PMProve It
- Nov 26th 2010, 08:42 PMrafi98
What is small letter a and b . And i dont know the formula of your second reply.

- Nov 26th 2010, 08:45 PMProve It
- Nov 27th 2010, 05:32 AMKrizalid