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I agree that it's spam.

When I was in University, a lot of profs would write their own textbooks and specify that book as the text for the course. Effectively, it was a way of earning extra money for themselves through book sales.

Many profs will specify a book that's already in print, but not all, and so even having the solutions manual to a book doesn't mean it's going to help you in your course work. If the course specifies a different text for the course, having the solutions manual to a different text is useless. It simply allows you to solve more practice questions so that you get more practice solving problems in differential equations, so that you get better at it.

AND, of course, the profs will use their own sources to get questions for their tests and exams. They probably WILL use questions out of other text books for their tests and exams, but they have thousands of text books to choose from. So you still need to know your stuff to pass the course.

PS: What's a "differential equation"?

Isaac Newton developed the mathematics we call "Calculus". Arithmentic deals with fixed numbers. Calculus deals with rates of change. So, imagine you have a cannon. You could say that the point where the artillery shell fired from that cannon strikes the Earth would be dependand on a number of variables; such as the angle of the barrel to the horizontal, the weight of the projectile, and the amount of gunpowder propelling it. Simple calculus deals with finding the maximum range when only one of those variables is unknown. For example, it's a simple calculus exercise to prove that for a given weight of projectile and for a given amount of gunpowder, the maximum range is always achieved when the barrel is oriented at a 45 degree angle to the horizontal. Any more and the shell goes too high and falls short of it's maximum range, and any less and the shell doesn't achieve the altitude it needs to achieve maximum range.

Differential equations deals with the rate of change in the function (in this case the range of the shell) PER VARIABLE. So, in our example, one could develop an equation for how the range of the shell varies with the weight of the shell, OR how the range varies with the amount of gunpowder, OR how the range varies with the angle of the barrel. All of those equations will have minima and maxima, and one can determine those minima and maxima using standard calculus. One needs the math of differential equations to find the equations for how the range varies with each variable. In lots of instances, the solutions to differential equations are trivial. For example the minimal range is always achieved when the weight of the shell is infinite or the amount of gunpowder is zero.

Real results, however, are achieved when one combines the solutions of one differential equations with those of another. For example, if we know how the range varies with the amount of gunpowder, and we have another differential equation which tells us how the strength of a hollow cylinder varies with it's wall thickness, then where a graph of those two equations intersect tells us the optimal wall thickness of a cannon barrel to achieve maximum range. Any more, and you have a barrel that's thicker than it needs to be, and only adds to the weight to your cannon, and any thinner and you have a potential widow maker of a cannon that could explode on you.

Anyhow, in high school they teach "math", which is just a fancy word for arithmetic where you have simple functions where only a single variable changes. Calculus is generally taught in first year university, and this is where you have more complex functions where only a single variable is changing. Differential Equations is the next step after standard Calculus. That's where you have functions dependant on more than one variable where any of them can be changing. There is also Complex differential equations where the solutions to the differential equations involve complex numbers, which are numbers that can only be imagined. For example, the square root of negative 1 is a complex number written as "i". "i" is the square root of -1. So, numbers that can't exist in reality CAN exist in mathematics if one uses the term "i" to represent the square root of -1. So, it's common to get answers like 23+5i (or whatever) as answers to complex differential equations. What that means is that the there is no REAL answer to the problem you're trying to solve. An answer exists, but it involves a complex number, and therefore can't exist in reality. It's just a mathematical abstraction, not an actual solution to the problem.

But, suffice it to say that there are thousands of text books used in universities for teaching Differential Equations, and the chances that your course will call for this book by Zill are minimal, and the chances that having the solutions to the practice questions in the text book by Zill will help you, your son or daughter, on the final exam are minimal, too. Profs WILL use the practice questions from other text books as the questions on their tests and final exams, but there are thousands of text books on differential equations for them to choose from, and each text book has an accompanying book showing the solutions to the practice problems presented in the text book.

The only REAL way of ace-ing the course is to come to class, learn from the instructor' lectures and do the practice problems he assigns.

Last edited by nestork : August 27th 13 at 02:33 PM
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