(1/2) Someone asked me to explain how to solve IVPs with Laplace transforms in under 140 characters, so here’s my best shot.
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(1) Take Laplace transform of both sides. (2) Look at table for the LHS. (3) Look at table for the RHS. (4) Your problem is now an algebra problem. (5) Solve for F(s). (6) Don’t fuck up on step (5). (7) Take inverse LT of both sides. (8) Again, look at table. (9) Cry.
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(6) and (9) are my favorite and so accurate
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Laplace transforms clearly demonstrate the falsity of the phrase “Don’t cry because it’s over, cry because you got to be a part of it”
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