Download PDF by Stephen A. Wirkus, Visit Amazon's Randall J. Swift Page,: 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,

ISBN-10: 1420010417

ISBN-13: 9781420010411

ISBN-10: 1584884762

ISBN-13: 9781584884767

"Featuring real-world purposes from engineering and technology fields, A path in usual Differential Equations is the 1st publication on usual differential equations (ODEs) to incorporate appropriate desktop code and directions of MATLAB®, Mathematica®, and Maple. The booklet embeds the pc algebra code all through, providing the syntax subsequent to the proper concept. It totally describes approximations used to obtain Read more...

summary:

that includes real-world functions from engineering and technological know-how fields, this publication on usual differential equations (ODEs) comprises appropriate desktop code and directions of MATLAB[registered], Read more...

Show description

Read or Download A course in ordinary differential equations PDF

Similar differential equations books

Read e-book online A First Course in Differential Equations with Modeling PDF

A primary path IN DIFFERENTIAL EQUATIONS WITH MODELING purposes, tenth version moves a stability among the analytical, qualitative, and quantitative ways to the examine of differential equations. This confirmed and obtainable ebook speaks to starting engineering and math scholars via a wealth of pedagogical aids, together with an abundance of examples, factors, "Remarks" packing containers, definitions, and staff initiatives.

Get Stochastic Differential Equations: Theory and Applications, PDF

This quantity comprises 15 articles written by way of specialists in stochastic research. the 1st paper within the quantity, Stochastic Evolution Equations through N V Krylov and B L Rozovskii, used to be initially released in Russian in 1979. After greater than a quarter-century, this paper is still a typical reference within the box of stochastic partial differential equations (SPDEs) and maintains to draw the eye of mathematicians of all generations.

Get Recent trends in differential equations PDF

This sequence goals at reporting new advancements of a excessive mathematical commonplace and of present curiosity. each one quantity within the sequence will likely be dedicated to mathematical research that has been utilized, or in all likelihood appropriate to the suggestions of medical, engineering, and social difficulties. the 1st quantity of WSSIAA includes forty two study articles on differential equations by means of major mathematicians from around the world.

Extra info for A course in ordinary differential equations

Sample text

A function F is called homogeneous of degree n if F (tx, ty) = tn F (x, y) for all x and y. That is, if tx and ty are substituted for x and y in F (x, y) and if tn is then factored out, we are left with F (x, y). 2. SEPARABLE DIFFERENTIAL EQUATIONS 27 so that F is homogeneous of degree 2. Homogeneous differential equations and functions that are homogeneous of degree n are related in the following manner. Suppose the functions M and N in the differential equation M (x, y) dx + N (x, y) dy = 0 are both homogeneous of the same degree n.

13. A 20 L vessel contains air (assumed to be 80% nitrogen and 20% oxygen). 1 L of nitrogen is added to the container per second. If continual mixing takes place and material is withdrawn at the rate at which it is added, how long will it be before the container holds 99% nitrogen? 14. A 100-L beaker contains 10 kg of salt. Water is added at the constant rate of 5 L/min with complete mixing, and drawn off at the same rate. How much salt is in the beaker after 1 hour? 15. A tank contains 25 lb of salt dissolved in 50 gal of water.

37. 38. y 2 +2xy x2 dy 2x2 dx = x2 + dy dx = y2 xy − y = x2 + y 2 (x + 2y)dx − xdy = 0 (y 2 − 2xy)dx + x2 dy = 0 2x3 y = y(2x2 − y 2 ) (x2 + y 2 )y = 2xy xy − y = x tan( xy ) (2x + y)dx − (4x + 2y)dy = 0 y 2 + x2 y = xyy x − y + (y − x)y = 0 (x + 4y)y = 2x + 3y (x − y)dx + (x + y)dy = 0 ydx = (2x + y)dy y y = 2( x+y )2 39. 2xdy + (x2 y 4 + 1)ydx = 0 40. ydx + x(2xy + 1)dy = 0 41. A function F is called homogeneous of degree n if F (tx, ty) = tn F (x, y) for all x and y. That is, if tx and ty are substituted for x and y in F (x, y) and if tn is then factored out, we are left with F (x, y).

Download PDF sample

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,


by Michael
4.1

Rated 4.77 of 5 – based on 36 votes