Find the bitwise OR, bitwise AND, and bitwise XOR of each of these pairs of bit strings:a) 11 1111 1111, 00 0000 0000b) 1111 0000, 1010 1010c) 00 0111 0001, 10 0100 1000 Basic Mathematics-ILRicha Nandra Lovely Professional UniversityUnit 11: Linear Differential Equations of First OrderNotesNotesLe.CONTENTSIntegrating, we haveObjectivesIntroductionwhich is the required general solution11.1 Linear Equations112 Equations Reducible to the Lincar (Bernoulli's Equation)113 Summary11.4 Keywords1.Jra is known as Integrating factor, in short, LF11.5 Review Questions2.Linear differential equation is commonly known as nitz's lineaquat11.6 Further ReadingsObjectivesExampleAfter studying this unit, you will be able to:e COsUnderstand the concept of linear equationsSolution:Discuss the equations reducible to linear formn equation dbe written asIntroductionylanr a secsAn equation is basically the mathematical manner to portray a relationship among two variablesThe variables may be physical quantities, possibly temperature and position for instance, inwhich case the equation informs us how one quantity relies on the other, so how the temperaturediffers with position. The easiest type of relationship that two such variables can comprisea linear relationship. This shows that to locate one quantity from the other you multiply thefirst by some number, then add a different number to the outcome. In this unit, you willa the con of linear equations and equations reducible to linear form.Here P tan XQ-sec r.LF. g secr.Solution of (1) isy. secr-fsecx. sec xdse11.1 Linear Equationsory sectan a+c AnsAn equation of the formExampledy- Py = Qdx(1)Solve (1+) 2xy-4-0.dy.Solutionin which P & Q are functions of x alone or constant is called a linear equation of the first orderGiven equation isd 1+ 1+rDid u know If you are provided a value of x, you can simply discover the value of y.The general solution of the above equation can be found as followsHereP.Multiplying both sides of (1) by ra, we haveLE ra "-ii - (1+).dyPye- OelrAdsLOVELY PROFESSIONAL UNIVERSITY143144IONAL UNIVERSITY à linear equation of the first order.11.5 Review QuestionsSolve the following differential equations:(x+2y)1.= y%3Ddxd (dy 2y2.de ( dex+ V1-x+(1-x²}-3/2)dey =(1-x}

Answered: Image /qna-images/answer/e9d8dbc2-d346-42c0-8a6f-c7cc8d011784.jpg

Answered: ntial equations: (x+2y) 1. = y de

ntial equations: (x+2y) 1. = y de

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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