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Discuss, and illustrate with examples, how to solve differential equations of the forms dy/dx = f(x) and dy/dx = f(x). and (2) and (3)

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Discuss, and illustrate with examples, how to solve differential equations of the forms dy/dx = f(x) and dy/dx = f(x). and (2) and (3) of this section. dy Solve: = f(x, y) (2) dx Subject to: y(x) = Yo dy Solve: = f(x, y, y) (3) dx Subject to: y(x) = Yor y'(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. y =

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