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Mathematik-Online problems:

Problem 131: Solution of a Differential Equation

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Given the function

$\displaystyle u(x)=a{\rm {e}}^{\lambda x}, \qquad a, \lambda \in\mathbb{R}. $

For which $ \lambda\in\mathbb{R}$ is $ u$ a solution of the differential equation $ 2u'''-3u''+u'-6u=0$? How must $ a$ be chosen in this case, for $ u(1)={\rm {e}}$ holds?

(Authors: Apprich/Höfert)

Solution:

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  automatisch erstellt am 23.  8. 2005