ENGM 2022 Study Guide - Midterm Guide: Transfer Function, Inductor, Dalhousie University

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

Document Summary

Because we integrated it, we introduce free constants. Integrate once one free constant ( rhs) Separable equation [each element can be moved on either side] Get each variable on each side =(1 ) = (1 ) Here it is easier to solve for but not necessary. Now when independent variable, solved on by separation. 2( 1)2 = +2 + 1 ( 1)2 + ( 1)3 ( 1)2 + ( 1)3 (2)( 1)3 = +2 + 1. Terms of both sides of the equation should be the same. Let = 2 for the denominator to be zero = 2, 1 (ln 2 ln( 2)) = 0 + ln = + ln 2 2 . We get figure 1 without referring to the solution by we are missing the time. Linear 1st order because it has constant coefficient. Step 2: get integrating factor: () = 2 =2 [drop constant] Step 2: get integration factor () = 1 = ln =