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(1/2) Someone asked me to explain how to solve IVPs with Laplace transforms in under 140 characters, so here’s my best shot.
(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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