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Differential Equations - NCERT

Differential EQUATIONS379 He who seeks for methods without having a definite problem in mindseeks for the most part in vain. D. HILBERT IntroductionIn Class XI and in Chapter 5 of the present book, wediscussed how to differentiate a given function f with respectto an independent variable, , how to find f (x) for a givenfunction f at each x in its domain of definition. Further, inthe chapter on Integral Calculus, we discussed how to finda function f whose derivative is the function g, which mayalso be formulated as follows:For a given function g, find a function f such thatdydx =g(x), where y = f(x) .. (1)An equation of the form (1) is known as a differentialequation. A formal definition will be given Equations arise in a variety of applications, may it be in Physics, Chemistry,Biology, Anthropology, Geology, Economics etc.

By the degree of a differential equation, when it is a polynomial equation in derivatives, we mean the highest power (positive integral index) of the highest order derivative involved in the given differential equation. In view of the above definition, one may observe that differential equations (6), (7),

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Model Question Paper Mathematics Class XII

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Model Question Paper Mathematics Class XII Time Allowed : 3 hours Max: Marks: 100 General Instructions (i) The question paper consists of three parts A, B and C.

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13108 - National Council Of Educational Research …

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Foreword What is ‘Education’? What is its primary purpose, and what is not? Which approaches support it, and at which levels of cognition? So many basic questions that many of our ‘trained

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