Find the particular solution of the differential equation yy' – 2e* = 0 that satisfies the initial condition y(0) = 3.
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- H.W 2/ Answer the following points i. Find the first three nonzero terms of Maclaurin series for the functions f(x) = e* and other function f(x) = ex By depending on point (1), find the series for function f(x) Cosh(x) where ii. e*+e-x Cosh(x) = 2Find the partial derivatives of f (x, y) = 4x y. (a) f.(x, y) = (b) fy(x, y) = (c) f2(5, y) = (d) f-(x, 5) =| (e) fy(5, y) =| (f) f,(x,5) = (g) f-(2,3) = (h) f,(2, 3) =7. Use the Laplace transform and its inverse to solve the following initial-value problems: a) y = 2e*; y(0) =– 1 b) y + y = e2t; y(0) =0 Ans. a) y = 2e* – 3, b) y = (e2t – e-t)
- Find L{f (t)} of the following functions. Note: a, b, e, k and r are constants. (1+1 ,0Find the laplace transform for the equation f(x) = 3e^-5tfind the value of k so that the given DE will become exact. The given Differential equation is (kxy-3x^2)dx + (x^2-2y)dy=0.The function Y = cx + 4 of which "a" is a parameter is a solution to y = O True O False 业 业命Identify the function P (x) and Q (x) if the differential equation (1 + cos a) y form + P(2) y = Q (x). sin x (sin x + sin xcosx - y) is written in the de sin z O p(2) = ; Q (x) = sin? a 1+ cos Op(z) sin a 1+ cos ; Q (2) = coS T sin a O p(z) ; Q (2) = sin² x 1 + CoS E O p(2) sin + 1 1+ cos sin a i Q (x) = 1+ cosSolve for TA, aA, aB, and aCDon't round off in the solution, just round off the final answer to 3 decimal places, pls show FBD's and complete solnFind the general solution to the following differential equations. Show all necessary solutions. 4. (x² + y² +1)dx+x(x - 2y)dy = 0 5. y'= x - 2ycot 2x Non-Exact DE Linear DEs of Order OneQ: A periodic function F(x) whose definition in one period is: x + 1 - 1< x< 0 f(x) = { x - 1 0Find the value of pSEE MORE QUESTIONSRecommended textbooks for youStructural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSONPrinciples of Foundation Engineering (MindTap Cou…Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage LearningFundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill EducationTraffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage LearningStructural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSONPrinciples of Foundation Engineering (MindTap Cou…Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage LearningFundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill EducationTraffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning