Q2 Given the linear differential equation, dy / dx + 4 sec2 (4x)y = sin (-2x), w

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Q2

Given the linear differential equation, dy / dx + 4 sec2 (4x)y = sin (-2x), with y = 6 when x = 0, find the simplest integrating factor. The simplest integrating factor is . 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

Explanation / Answer

B , E

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