Titlebook: Differential Equations, pt 1; L. W. F. Elen Textbook 1965Latest edition Macmillan Publishers Limited 1965 analysis.differential equation.e

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Applications of First-order Differential Equations, 1 Newton’s law of cooling states that the rate of fall of temperature is proportional to the excess of the temperature of a body over that of the surrounding space. If . is the temperature of the body and . that of the surrounding space, write down the differential equation and integrate it.

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Applications of Differential Equations of the Second and Higher Orders,If a body is moving in a straight line under the action of a force directed towards a fixed point and proportional to the distance from the point the motion is said to be simple harmonic.

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Solution of Second-Order Differential Equations by Series,If a differential equation cannot be solved by the methods given previously, a solution by the method of series may be attempted.

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T. J. Wiktor,R. I. MacFarlan,H. Koprowskithe differential equation being transformed into an algebraic equation. The method is particularly suitable in cases where the time is the independent variable and the initial conditions are given. It is used extensively by electrical engineers.

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https://doi.org/10.1007/978-1-349-86213-9analysis; differential equation; equation; mathematics; ordinary differential equations

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Macmillan Publishers Limited 1965