ENGM 2022 Study Guide - Midterm Guide: Matlab, Step Function, Invertible Matrix

• School: Dalhousie University
• Department: Engineering Mathematics
• Course: ENGM 2022
• Professor: All

Document Summary

Math 246, fall 2015, professor david levermore (1) compute the laplace transform of f (t) = t e3t from its de nition. (2) consider the following matlab commands. >> syms t s y; f = ["heaviside(t)*t 2 + heaviside(t 3)*(3*t t 2)"]; >> di eqn = sym("d(d(y))(t) 6*d(y)(t) + 10*y(t) = " f); >> algeqn = subs(eqntrans, {"laplace(y(t),t,s),t,s)", "y(0)", "d(y)(0)"}, {y, 2, 3}); >> y = ilaplace(ytrans, s, t) (a) give the initial-value problem for y(t) that is being solved. (b) find the laplace transform y (s) of the solution y(t). You may refer to the table on the last page. Do not take the inverse laplace transform to nd y(t), just solve for y (s)! (4) find the inverse laplace transforms of the following functions. You may refer to the table on the last page. (a) f (s) =