Question: What is the smallest positive integer n for which a function of the type y(t)=At^(n)cost (A a real constant) solves y^((4))+2y^('')+y=cost ? Hint: r^(4)+2r^(2)+1=(r^(2)+1)^(2). A.

What is the smallest positive integer n for which a function of the type y(t)=At^(n)cost (A a real constant) solves y^((4))+2y^('')+y=cost ? Hint: r^(4)+2r^(2)+1=(r^(2)+1)^(2). A. 0 B. 1 C. 2 D. 3

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