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Consider the following differential equation xdy/dx = y Let f(x,y) = y/x. Find the derivative of f , df/dy Determine a region of the xy-plane for which the given differential equation would have a unique solution whose graph passes through a point (x0,y0) in the region. (1) A unique solution exists in the entire xy-plane. (2) A unique solution exists in the region y <= x (3) A unique solution exists in the region consisting of all points in the xy-plane except origin (4) A unique solution exists in the region x > 0 and x < 0 (5) A unique solution exists in the region x < 1

Consider the following differential equation xdy/dx = y Let f(x,y) = y/x. Find the derivative of f , df/dy Determine a region of the xy-plane for which the given differential equation would have a unique solution whose graph passes through a point (x0,y0) in the region. (1) A unique solution exists in the entire xy-plane. (2) A unique solution exists in the region y 0 and x < 0 (5) A unique solution exists in the region x < 1

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Consider the following differential equation xdy/dx = y Let f(x,y) = y/x. Find the derivative of f , df/dy Determine a region of the xy-plane for which the given differential equation would have a unique solution whose graph passes through a point (x0,y0) in the region. (1) A unique solution exists in the entire xy-plane. (2) A unique solution exists in the region y <= x (3) A unique solution exists in the region consisting of all points in the xy-plane except origin (4) A unique solution exists in the region x > 0 and x < 0 (5) A unique solution exists in the region x < 1

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