The normal form (5) of an nth-order differential equation is equivalent to (4) whenever both forms have
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The normal form (5) of an nth-order differential equation is equivalent to (4) whenever both forms have exactly the same solutions. Make up a first-order differential equation for which F(x, y, y') 0 is not equivalent to the normal form dy/dx = f (x, y).
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Related Book For 
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
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