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

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 ste

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