Lecture 7 Notes

# Method of undetermined coefcients 35 example 6 find

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Unformatted text preview: t2 + Et + F (E) Don’t know / still thinking. Method of undetermined coefﬁcients (3.5) • Example 6. Find the general solution to y + 2y = e + t ￿￿ ￿ 2t 3 . • What is the form of the particular solution? (A) yp (t) = Ae2t + Bt3 + Ct2 + Dt (B) yp (t) = Ae2t + Bt3 + Ct2 + Dt + E (C) yp (t) = Ae2t + (Bt4 + Ct3 + Dt2 + Et) (D) yp (t) = Ae2t + Be−2t + Ct3 + Dt2 + Et + F (E) Don’t know / still thinking. Method of undetermined coefﬁcients (3.5) • Example 6. Find the general solution to y + 2y = e + t ￿￿ ￿ 2t 3 . • What is the form of the particular solution? (A) yp (t) = Ae2t + Bt3 + Ct2 + Dt (B) yp (t) = Ae2t + Bt3 + Ct2 + Dt + E (C) yp (t) = Ae2t + (Bt4 + Ct3 + Dt2 + Et) yp (t) = Ae2t + t(Bt3 + Ct2 + Dt + E ) yp (t) = Ae2t + Be−2t + Ct3 + Dt2 + Et + F (D) (E) Don’t know / still thinking. Method of undetermined coefﬁcients (3.5) • Example 6. Find the general solution to y + 2y = e + t ￿￿ ￿ 2t 3 . • What is the form of the particular solution? (A) yp (t) = Ae2t + Bt3 + Ct2 + Dt (B) yp (t) = Ae2t + Bt3 + Ct2 + Dt + E (C) yp (t) = Ae2t + (Bt4 + Ct3 + Dt2 + Et) yp (t) = Ae2t + t(Bt3 + Ct2 + Dt + E ) yp (t) =...
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