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[Solved]: Use the Laplace transform to solve for y_(1)(t) an
Home / Expert Answers / Advanced Math / use-the-laplace-transform-to-solve-for-y-1-t-and-y-2-t-that-satisfies-the-coupled-differential-pa320

(Solved): Use the Laplace transform to solve for y_(1)(t) and y_(2)(t) that satisfies the coupled differential ...


Use the Laplace transform to solve for

y_(1)(t)

and

y_(2)(t)

that satisfies the coupled differential equation,

(d)/(dt)[[y_(1)],[y_(2)]]=[[-2,-1],[1,-2]][[y_(1)],[y_(2)]]+[[sin(t)],[cos(t)]]

with initial condition,

y_(1)(0)=1

and

y_(2)(0)=1

.



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