Exercise 3 nd the order of the following differential equations: a.) y" - 2(y")² = (y'-2y)³ d²y V dx² b.) dy dx +y = 3- C.) 3d²y_d²y dx4 dx² - x² - -12y=(x-2)

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A: Please see the below picture for detailed solution.

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A: The given question can be solved using the concept of integration by parts

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A: I am attaching image so that you understand each and every step.

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Q: lim X118 30x - 7 √√36x² + 7x V

A: limx→-∞30x-736x2+7x =limx→-∞30x36x2+7x-limx→-∞736x2+7x =limx→-∞30x|x|36+7x-limx→-∞7|x|36+7x…