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Q9 Q10 A first order linear differential equation has standard form dy / dx + f(

ID: 1890065 • Letter: Q

Question


Q9



Q10

A first order linear differential equation has standard form dy / dx + f(x) middot y = g(x). Given the linear differential equation, dy / dx + 1 / (x +8)2 y + 2 cos (5x) = 0, identify f(x), g(x) from the standard form of the equation and answer the multiple choice question. f(x)= . g(x)= Which of the following would you use in determining the integrating factor? y 2 cos (5x) -y dy / dx - 1 / (x + 8)2 1 If x~= -6i~-7j~+6k~, y~=-7i~+8j~+6k~ find x~ times y~. The answer is either a vector or a scalar (but not both). Fill in all the boxes, entering NA in any box which is not applicable to the answer. Make sure you enter the minus sign for any negative coefficients and include zero coefficients. The answer is the vector i~+ j~+ k~. The answer is the scalar .

Explanation / Answer

Q10.) x x y ==> -6i x(-7i+8j+6k) -7j x(-7i+8j+6k) +6k x(-7i+8j+6k) as we know i x i = 0 and j x j = 0 ==>-48 k + 36j - 49k - 42 i -42j -48 i == - 90i -6j-97k so this is a vector. the answer is the vector==>-90i -6j-97k