Wiley signals and systems e book TLFe BO 145

130 Solving liiitial Coriditioii Problrirrs with the 1,ardnc-e Trsrisforrrr This shows tlial i I i e intc~rrralpart is deterrriiiirtl by tirt\ initial state of thc inicgrator iii Figuic 7.2 Figure 7.2 First orclcr yystrrxi in dircc t m d t h c timc constxrt ir forrti I1 = KL', the differcnlial equation IjLz t- ( = i l l ir (7.23) followb immediiitely and froin that, tisiiig the dilkrentiat ion theorem, we obtairr