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| − | = | + | =[[MA366|MA 366]] course wiki, by [[User:Dknott01|Dave Knott]]= |
| − | + | Differential equations, which state a relation between a function and its derivatives, appear constantly in physics, chemistry, engineering, biology, and whatever other sufficiently mathematical science one can think of, and the more difficult ones continue to be an active area of mathematical research. Solving differential equations, as you will see in this course, proves to be an endeavor requiring a variety of techniques, and far more frequently than you would prefer, no simple formula exists for deriving the desired solution. | |
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| + | The differential equations you will study in this course are broken up into different families according to which techniques lead to their solutions. It is (mostly) along these lines that this course wiki is divided. | ||
| + | '''Contents'''<br> | ||
| + | 1) [[MA366-1|What does it mean to solve a differential equation? What is an initial value problem?]]<br> | ||
| + | 2) [[MA366-2|Separable Equations]]<br> | ||
| + | 3) [[MA366-3|First Order Linear Equations]]<br> | ||
| + | 4) [[MA366-4|Homogeneous Equations]]<br> | ||
| + | 5) [[MA366-5|Exact Equations]]<br> | ||
| + | 6) Homogeneous Equations with Constant Coefficients | ||
| + | *[[MA366-6|with real, distinct roots]] | ||
| + | *[[MA366-7|with complex roots]] | ||
| + | ---- | ||
[[ MA366|Back to MA366]] | [[ MA366|Back to MA366]] | ||
Latest revision as of 08:44, 29 December 2009
MA 366 course wiki, by Dave Knott
Differential equations, which state a relation between a function and its derivatives, appear constantly in physics, chemistry, engineering, biology, and whatever other sufficiently mathematical science one can think of, and the more difficult ones continue to be an active area of mathematical research. Solving differential equations, as you will see in this course, proves to be an endeavor requiring a variety of techniques, and far more frequently than you would prefer, no simple formula exists for deriving the desired solution.
The differential equations you will study in this course are broken up into different families according to which techniques lead to their solutions. It is (mostly) along these lines that this course wiki is divided.
Contents
1) What does it mean to solve a differential equation? What is an initial value problem?
2) Separable Equations
3) First Order Linear Equations
4) Homogeneous Equations
5) Exact Equations
6) Homogeneous Equations with Constant Coefficients
