By Stephen A. Wirkus, Visit Amazon's Randall J. Swift Page, search results, Learn about Author Central, Randall J. Swift,

ISBN-10: 1420010417

ISBN-13: 9781420010411

ISBN-10: 1584884762

ISBN-13: 9781584884767

"Featuring real-world purposes from engineering and technological know-how fields, A path in traditional Differential Equations is the 1st ebook on usual differential equations (ODEs) to incorporate correct laptop code and directions of MATLAB®, Mathematica®, and Maple. The e-book embeds the pc algebra code all through, featuring the syntax subsequent to the suitable concept. It totally describes approximations used to obtain�Read more...

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**Read or Download A course in ordinary differential equations PDF**

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**Extra resources for A course in ordinary differential equations**

**Sample text**

A uniform extensible cord 1 m long is stretched k · f meters by a force of f kg. A cord of the same material 2 m long has mass P kg. If it is suspended by one end, how much is it extended under the weight of its own mass? 0012 g/cm3 . Neglecting any variation in temperature, pressure is proportional to the density and is 1 kg/cm2 at the earth’s surface. Find the pressure as a function of the height h. A closed vessel with volume V m3 contains liquid water and air. The speed of evaporation of the water is proportional to the diﬀerence between the saturation concentration q1 of water vapor (amount per m3 ) at the given temperature, and the amount q of water vapor per m3 actually present in the air (assume that the temperature of the air and water, and the amount of area on which evaporation occurs do not change).

A slug of metal at a temperature of 800◦F is put in an oven, the temperature of which is gradually increased during an hour from a◦ to b◦ . Find the temperature of the metal at the end of an hour, assuming that the metal warms kT degrees per minute when it ﬁnds itself in an oven that is T degrees warmer. In problems 13–17 it is supposed that the amount of gas (or liquid) contained in any ﬁxed volume is constant. Also, thorough mixing is assumed. 13. A 20 L vessel contains air (assumed to be 80% nitrogen and 20% oxygen).

If x(t) represents the position of a particle at time t, then the velocity of the particle is given by dx v(t) = . dt Similarly, the acceleration of the particle is a(t) = d2 x dv = 2. dt dt Thus, if we consider a particle that is in free fall, where the acceleration of the particle is due to gravity alone, we have a(t) = −g. Here g is assumed to be a constant and we use −g as gravity acts downward. For the moment, we ignore the eﬀects of air resistance. Thus, dv = −g, dt which is a simple separable equation, so that v(t) = −gt + c.

### A course in ordinary differential equations by Stephen A. Wirkus, Visit Amazon's Randall J. Swift Page, search results, Learn about Author Central, Randall J. Swift,

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