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3 cards from this section. Quick, good the night before a test.
What is the formula for the Laplace Transform of the first derivative?
Recall the components: the transform of the original function and its initial value.
Define an Initial Value Problem (IVP).
Focus on what needs to be known before solving.
What is the result of L{f'(t)}?
Think about how derivatives relate to the function itself.
True or False: The second derivative transforms to L{f''(t)} = s^2F(s) - sf(0)
Recall the formula and check for omissions.
Solve the differential equation y''' + y'' + 2y' + y = 0 using Laplace Transforms.
Identify the characteristic equation formed by the s-domain.
For the function f(t) = t^2e^(2t), calculate its Laplace Transform directly.
Look up how polynomial functions behave under transforms!
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