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5. Consider the differential equation xy5/2 +1+x2y3/2dy =0. dx (a) Show that this differential equation is not exact. (b) Find a value for the constant

5. Consider the differential equation xy5/2 +1+x2y3/2dy =0. dx

(a) Show that this differential equation is not exact.

(b) Find a value for the constant a such that, when you multiply the d.e. through by xa, it becomes exact. Show your work. Do NOT solve the resulting differential equation.

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