The words differential and equations certainly suggest solving some kind of
equation that contains derivatives y�, y , . . . . Analogous to a course in algebra and
trigonometry, in which a good amount of time is spent solving equations such as
x2 � 5x � 4 � 0 for the unknown number x, in this course one of our tasks will be
to solve differential equations such as y � 2y� � y � 0 for an unknown function
y � �(x).
The preceding paragraph tells something, but not the complete story, about the
course you are about to begin. As the course unfolds, you will see that there is more
to the study of differential equations than just mastering methods that someone has
devised to solve them.
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This was posted by Ghulam Mujtaba Khan
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