Question: (1 point) In this problem you will solve the non-homogeneous differential equation + 40y - sec (72) Let G and Ca be arbitrary constants

(1 point) In this problem you will solve the non-homogeneous differential equation " + 40y - sec (72) Let G and Ca be arbitrary constants The general solution to the related homogeneous differential equation y" + 49y = 0 is the function M() -Com() + CM(x) - C cos(7x) + Ca sin(7x) help (formulas) Note: The order in which you enter the answers is important, that is. Cif(3) + Cag(a) / Cig(a) + Caf(a). Thenfore put sine before cosine The particular solution y, () to the differential equation y" + 40y - see (72) is of the form y,() - vi() us() + ma(x) us(z) where and 15(a) = help (formulas) It follows that and uj (a) help (formulas) Thus y,() help (formulas) The most general solubon to the non-homogeneous differential equation y" + 49y - sec (7:) is y C1 help (formulas)
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