If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, c2 = a2 + b2. How is dc/dt related to da/dt and db/dt?

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Q: Solve the following differential equation:  xdx+ydy=(x2+y2)dx (2x2+y)dx+(x2y-x)dy=0 (xy2+x2)dy+ydx=...

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