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An introduction to solving differential equations by finding the unknown functions that satisfy them. It explains how derivatives can be involved implicitly through differentials and discusses the order and degree of differential equations. Slide 5 introduces the concept of implicit derivatives, while slide 13 explains how to determine the degree of a differential equation.
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Slide 5 As in equation (3), a derivative may be involved implicitly through the presence of differentials. Our aim is to find methods for solving differential equations; that is, to find the unknown functions that satisfy the differential equation. Slide 13 The equation is in order 3, and the power of its order is one, hence, the equation has a degree of one or we can say that the equation is in the 1st^ degree.
