Georgia standard · Mathematics

`DE.AR.5`Laplace Transform Applications

Solve contextual, mathematical problems using Laplace transforms to explain real-life phenomena.

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Expectations

DE.AR.5.1
Use the integral definition to perform Laplace transforms for functions.
DE.AR.5.2
Use a Laplace table to accurately and efficiently identify Laplace transforms.
DE.AR.5.3
Perform inverse Laplace transforms using a variety of techniques.
DE.AR.5.4
Solve first- and second-order differential equations using Laplace transforms that apply to fields such as electrical and mechanical engineering.
DE.AR.5.5
Write piecewise functions as compositions of step (Heaviside) functions.
DE.AR.5.6
Find the general uniqueness and existence of solutions for step functions, and use Laplace transforms to find solutions to step functions.
DE.AR.5.7
Find the Laplace transform of the Dirac delta function.
DE.AR.5.8
Solve linear systems of differential equations using Laplace transforms

No Georgia Milestones blueprint cites this standard.