Math notes/Differential Equations/Laplace TransformsLaplace Transforms and Their Domain — Cheat sheetCHEAT SHEET · FREELessonCheat sheet →Unit cheat sheet →Save as PDF ↓Choose “Save as PDF” in the print dialog.On this pageCore ruleWatch forCore ruleL[y′′]=s2Y−sy(0)−y′(0).\mathcal L[y'']=s^2Y-sy(0)-y'(0).L[y′′]=s2Y−sy(0)−y′(0). Watch forDerivative formulas require suitable regularity and growth. Keep initial terms until after substituting the stated values. Losing them replaces the intended initial-value problem with a different one.← PREVIOUS LESSONFrequency Response and RLC ModelsNEXT LESSON →Laplace Inversion and Initial-Value Problems
Mr. Integral