Differential Equations Quiz
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FIRST-ORDER DIFFERENTIAL EQUATIONS
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The differential equation dydx=12(y2−1)\frac{dy}{dx} = \frac{1}{2}(y^2 - 1) has two constant solutions, y=1y=1 and y=−1y=-1. A particular solution to this equation passes through the point (0,3)(0, 3). Which of the following statements is true about this particular solution y(x)y(x)?
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