Solve the DE, pls show clean and full solution Use the Laplace Transform to solve the given initial value problem.y" + 2y' + 5y = 0; y(0) = 2, y'(0)=-4O y = 2e^-tcos2t - e^tsin2tOy=e^-tcos2t - 2e^tsin2tOy= 2e^-tcos2t - e^-tsin2tOy=e^-tcos2t - 2e^-tsin2t

The given equation is; y''+2y'+5y=0, y(0)=2, y'(0)=-4.

Answered: Use the Laplace Transform to solve the…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Use the Laplace Transform to solve the given initial value problem. y" + 2y' + 5y = 0; y(0) = 2, y'(0) = -4 O y = 2e^-tcos2t - e^tsin2t Oy=e^-tcos2t - 2e^tsin2t Oy= 2e^-tcos2t - e^-tsin2t O y = e^-tcos2t - 2e^-tsin2t