CAUsers/EBRAHIM%20ALESSH/Documents/private/DE-Book.pdfED Page viewA Read athe system to a superposition of inpualready examined some simple lineaequations); im Section 5.1 we exanmatical models are second-order diffEXERCISES 4.1Answers to selecte4.1.1 INITIAL-VALUE AND BOUNDARY-VALUE5. Given thatPROBLEMSsolutions cshow that cmember ofIn Problems 1-4 the given family of functions is the generalsolution of the differential equation on the indicated interval.Find a member of the family that is a solution oflthe initial-value problem.y(0) 0, yTheorem 46. Find two1. y eje + cze, (-0, o);- y = 0, y(0) = 0, y'(0) = IProblem 5y'(0) 0.7. Given thatsolution of- 3y'- 4y 0, y(0) = 1, y'(0) = 2show that3. y= Cx+ Cx In x, (0, );ry"-xy' +y = 0, y(1) = 3, y'(1) = -1x(0) = Xo,.4. y c + c2 cos x + c3 sin x, (-, oc);y"+y' 0, y(7)= 0, y'(m) = 2, y"(m)--14.1PRELIMINAR8. Use the general solution of x+ wr=0 given in21. fi(x) 1 +

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Answered: 1. y cje+ cze, (-, ); y"-y 0, y(0) = 0,…

Math

Advanced Math

1. y cje+ cze, (-, ); y"-y 0, y(0) = 0, y'(0) 1

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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