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colleen
 5 years ago
Laplace transformation differential equation: solve IVP: y''y=20delta(t3); y(0)=1, y'(0)=0. I got the basic laplace transformation but am unsure about the partial fractions and converting back via inverse laplace. i have the answer but need to show my work and my work is wrong.
colleen
 5 years ago
Laplace transformation differential equation: solve IVP: y''y=20delta(t3); y(0)=1, y'(0)=0. I got the basic laplace transformation but am unsure about the partial fractions and converting back via inverse laplace. i have the answer but need to show my work and my work is wrong.

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0http://tutorial.math.lamar.edu/Classes/DE/InverseTransforms.aspx might help

Colleen
 5 years ago
Best ResponseYou've already chosen the best response.0that's what I was working off of and I solved for Y=(20e^(3s)+s1)/(s^2s). The correct final answer is cosh(t)20u(sub3)(t)sinh(t3). which means my Y should be in teh form s/(s^2a^2) in order for the inverse laplace to be cosh(t). and I should have a form a/(s^2a^2) with the heavyset term to use the inverse laplace sinh(t3). I don't have either of these forms.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hi is the delta might be the U? in the unit step function?
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