Intended for use in a beginning one-semester course in differential equations, this text is designed for students of pure and applied mathematics with a working knowledge of algebra, trigonometry, and elementary calculus. Its mathematical rigor is balanced by complete but simple explanations that appeal to readers' physical and geometric intuition. Starting with an introduction to differential equations, the text proceeds to examinations of first- and second-order differential equations, series solutions, the Laplace transform, systems of differential equations, difference equations, nonlinear differential equations and chaos, and partial differential equations. Numerous figures, problems with solutions, and historical notes clarify the text. Projectile Problem A projectile is fired at an angle of 0 = rr/4 radians (45Ad) from the horizontal. ... and a drag force that is proportional to the magnitude of the projectilea#39;s velocity and acts opposite to the direction of the motion of the projectile.

Title | : | An Introduction to Differential Equations and Their Applications |

Author | : | Stanley J. Farlow |

Publisher | : | Courier Corporation - 2012-10-23 |

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