Question: Lab Assignment ProblemFind vec(f)(t) given that vec(f)'(t)=tt2+12vec(l)+t2vec()+3costvec(k) and vec(f)(0)=2vec()+vec(k).Hint: show that the solution results to:vec(f)(t)=(t2+12+1)vec()+t33vec()+(3sint+1)vec(k)

Lab Assignment ProblemFind vec(f)(t) given that vec(f)'(t)=tt2+12vec(l)+t2vec()+3costvec(k) and vec(f)(0)=2vec()+vec(k).Hint: show that the solution results to:vec(f)(t)=(t2+12+1)vec()+t33vec()+(3sint+1)vec(k)

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