please answer all questions and show all working 2. Solve the the following differential equations (you...
2nd order linear homogeneous Find the general solution to the following homogeneous differential equations (you answers must have two arbitrary constants (you may use any letters, for example p and q or m and n instead of ki and k2 - notation doesn't matter here]). y" + 2y' – 3y = 0 (b) 6y" – y-y=0 (c) y" + 5y = 0 (d) y" - 9y' +9y 0 The two constants, e.g. ki and k2, determine (and are determined by)...
please answer all the following quesitons and show all working 1. Find the general solution to the following homogeneous differential equations. y" - 2y' + y = 0 (b) 9y" + 6y' + y = 0 4y' +12y +9y=0 (d) y" - 6y' +9y = 0
Can you please show number #25, #27 (Please make work readable) 21. y" + 3y" + 3y' + y = 0 22. y" – 6y" + 12y' – 8y = 0 23. y(a) + y + y" =0 24. y(4) – 2y" +y=0 In Problems 1-14 find the general solution of the given second-order differential equation. 1. 4y" + y' = 0 2. y" – 36y = 0 3. y" - y' - 6y = 0 4. y" – 3y'...
Please show solutions. Answer: 1. Find a general solution to the following differential equations: (a) y" + y = 0 (b) y" – 2y' + 264 = 0 (c) 4x²y" – 3y = 0 (d) y" + 4y = 9 sin(t). (e) y" – 6y' + 9y = 6e3x 1. (a) y = ci + c2e- (b) y = cle' cos(5t) + czet sin(5t) (c) y = cit-1/2 + c2t3/2 (d) y = ci cos(2t) + c2 sin(2t) + 3...
please answer all these questions and show all working 2. Solve the the following initial value problems. (a) 9y" – 12y' + 4y = 0) with y(0) = 2 and y'(0) = -1 y" + 4y' + 4y = 0) with y(-1) = 2 and y'(-1) = 1 (c) 4y" + 12y' +9y = 0) with y(0) = 1 and y'(0) = -4 (d) 4y" + 4y + y=0 with y(0) = 1 and y(0) = 2 (b)
please show all working out 7. Use Laplace transforms to solve the given differential equations f. 2+2y 3e* cos 2x, given y(0) 2 and y' (0) -5
differential and linear equations please please double check answers are correct Solve y" + 5y' + 6y = S(t – 2) y(0) = 0 y'(O) = 1
please solve number 4 Problem No.1 Solve the following first order differential equations by finding: a- Homogenous solution a. The particular solution b- The total (complete) solution for the corresponding initial conditions. Note: Answer all questions clearly and completely. 1- y' + 10y = 20; y(0) = 0 2- 4y' - 2y = 8; y(0) = 10 3- 10y' = 200; y(0) = -5 4- 2y' + 8y = 6cos(wt); y(0) = 0. Let o = 12 rads/sec.
differential equations .. Boundary Value. Solve the following: y" + 2y' - 5y = 0, y(0) = 0, y'(1) = 0 F. Boundary Value. Solve the following: y" + 2y' - 3y = 9x, y(0) = 1, y'(1) = 2
please thanks 2. 124 points Solve the following higher order homogeneous linear differential equatil y®+8y® +16y" =0 1970 h quota 2y" – 3y - 8' – 3y = 0.08. Oda vaba ona bandar bo 500032 TOMTOM (6) + 2y()) – 3 (4) _4y +4Y" =0 y" - 6y" +12y – 7y=0