DIFFERENTIAL EQUATIONS Directions Solve using BOTH regular r
DIFFERENTIAL EQUATIONS
Directions: Solve using BOTH regular rules and Laplace transforms.
x\'= -x - 2y + e^(-t) y\' = y + t
Can you solve these in a step by step solution, and give me advice on these types of problems.
Solution
x\'=-x-2y+e^(-t) y\'=y+t
x\'+x+e^(-t)=0 y\'+y-2y+t=0
take laplace transform on both sides,
[s(x)+x-te^(-t)]t=0 [s(y)+y+1]t=0
