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Consider the equation (y+2xy)dx-x dy = 0 1. Show that this equation is not exact. 2. Show that multiplying both sides of the equation

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Consider the equation (y+2xy)dx-x dy = 0 1. Show that this equation is not exact. 2. Show that multiplying both sides of the equation by y2 yields a new equation that is exact. 3. Use the solution of the resulting exact equation to solve the original equation. 4. Were any solutions lost in the process?

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