exam on sciene

This course contains an introduction to ordinary source derivative equations. It will come home various kinds of first enounce equations and then second order equations with constant coefficients.

A knowledge of integration is ESSENTIAL for this course. enliven look at your first division and second year notes for reference.

There are 2 lectures per week: Wednesdays at 1pm in Physics Hall and Thursdays at 1pm in Hall F.

The scrutiny is 90 minutes and will take place in January.
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1 A few integrals for you to manage on!
Integrals



2 jaw 1: What is an ordinary derivative equations and what is a solution?


3 Lecture 2: verge value solutions, one parameter families of curves and their representation by first order differential equations.
rehearse 1
Diagrams for question 4



4 Lecture 3: First order differential equations of simple and variable separable type.


5 Lecture 4: First order homogeneous equations.


6 Lecture 5: More first order homogeneous ODEs and bilinear substitutions.


7 Lecture 6: Using linear substitutions to make equations each homogeneous or variable separable. An introduction to linear equations.
Exercise 2.



8 Lecture 7: First order linear equations.


9 Lecture 8: Bernoulli Equations. Simple applications - Newtons laws of motion.






10 Lecture 9: Applications - Radioactive decay and Newtons law of cooling.
Exercise 3



11 Lecture 10: Applications. Newtons Law of Cooling and Kirchoffs Law.


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