True-False practice, Ch 9, Diff Eq's.

These are just for practice and don't affect your grade. I'm assuming you've read over Ross, Ch 9, on Laplace transforms (LT's).



True False. The LT is useful even for third-order linear DE's.

True False. If f is a positive function, then L(f) is also positive (always).

True False. If f is periodic then L(f) is periodic.

True False. If f is an increasing function, then L(f) does not exist.

True False. The LT of a convolution is a product of LT's.

True False. The LT of a continuous function is continuous.

True False. The Dirac delta function obeys all the usual laws of Calculus.

True False. The inverse LT of Y cannot have two different answers.

True False. Dirac helped in the Napoleonic Wars.

True False. A first order system of two DE's in x and y usually comes with 4 initial conditions.


Written by S.Hudson 11/02

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