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Discuss and illustrate with examples how to solve differential equations of the forms dy dx...

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Discuss and illustrate with examples how to solve differential equations of the forms dy dx f x and d y dx f x and 2 and 3 of this section y Solve Subject to dy dx y x Yo Solve f x y d y dx Subject to y x Yory x Y Find a function whose second derivative is y 12x 2 at each point x y on its graph and y x 4 is tangent to the graph at the point corresponding to x 1 2 f x y y 3

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