Can someone please help me with these problems? Please only attempt if you are certain, and please show your work thoroughly and write clearly. I am trying to understand everything. Thank you.
Can someone please help me with these problems? Please only attempt if you are certain, and pleas...
please help me solve #1,2,3 !!! greatly appreciated (2.2 Homogeneous linear equations with constant coefficients 1. Find a fifth-order homogeneous linear differential equation with constant coefficients whose general solution is y = (1 + Cze* + czxe* + e-*(C4cos2x + cssin2x). 2. Solve 2y'' – 3y" – 8y' – 3y = 0. 3. Solve y" + y' + y = 0.
Can you show how to solve the 3 systems of linear equations? I have r1, r2, and r3 figured out. = (1 point) Find the solution to the following linear, homogeneous recurrence with constant coefficients: an 15an-1 – 74an-2 + 120an-3 for n > 2 with initial conditions ao = 3, a1 = 18, az = 108. The solution is of the form: an = a1(ru)" + a2(+2)" + 3(13)" for suitable constants 21, 22, 23, 11, 12, 13 with...
can you solve this problem please? 8. Determine the appropriate form of the particular solution for the following non-homogeneous linear differential equation with constant coefficients. * (8 Points) +9y" = 5 + e* (x – 3) + 4sin (3x). y (4) A + B sin(3x) + Cxsin (3x) + Det + Exer none of these A + Bxe-3x + Cxe3x + Det + Exet Ax2 + Bxe-3x + Cxe3x + Det + Exer Ax + B + C sin(3x) +...
This is my last questions to this problems, can someone help me please. Thank you ! 5. [12 pts) In a bag of peanut M&M's, there are 80 total candies, with 11 red ones, 12 orange ones, 20 blue ones, 11 green ones, 18 yellow ones, and 8 brown ones. They are mixed up that each candy piece is equally likely to be selected if we pick one. a. If we select one at random, what is the probability that...
Please help me do both problems if you can, this is due tonight and this is my last question for this subscription period. (Thank you) Euler's method for a first order IVP y = f(x,y), y(x) = yo is the the following algorithm. From (20, yo) we define a sequence of approximations to the solution of the differential equation so that at the nth stage, we have In = {n-1 +h, Yn = Yn-1 +h. f(xn-1, Yn-1). In this exercise...
Please help me for all problems 1, 2, 3, 4, 5 1. (Three points.) Convert this system to upper triangular form and solve by back-substitution. 4x+7y + 5z 13 -2y + 2z-6 2. (Three points.) Convert this system to upper triangular form and solve by back-substitution. 4x-5y +z=-13 2x -y-3z5 3. (Four points.) Find the value a that will make the matrix of coefficients for this system singular and the value b that will give the system infinitely many solutions...
please someone help me solve these problems and show me how you do it 5. Rewrite the following in exponential form: log, 1024 6. Rewrite the following in logarithmic form: 92= 7. Use your calculator to evaluate the following, round to 5 significant digits: a. log 8.75 b. In 8.75 c. log, 8.75 8. Sound intensity (loudness) is measure in decibels, B dB, according to the rule B = 10 log -. I is the intensity of the sound wave...
can you help me with 37, 41, and 45 thanks 3.6. Homogeneous Equations with Constant Coefficients 191 31. d(isin(2)) 34. 읊 (e212. cos(3x1+ sin x) 36. fe(l-2i)dx 32. (e3iz) 33. ,e* sin(z)) 37. Je(1+2)dr In Problems 39- 42, solve the system of equations for the possibly complex- valued unknowns 39. iAi-1, A1 iA2 0 40. iA21, 2A1 iA20 43. Show that eir is a solution to x" +x 0 44. Show that ei2z is a solution to z', + 4x...
Please write neat so I can read and understand the problem. (1 point) In this exercise we consider finding the first five coefficients in the series solution of the first order linear initial value problem 3y" - xy + 4y = 0 subject to the initial condition y(0) = 3, y'(0) = 2. Since the equation has an ordinary point at x = 0 and it has a power series solution in the form y= 2" We learned how to...
Please give me a step by step to approach these problems in order to get the desired answers that my teacher wants. Don't have to do all of them just use one or two as an example is fine. Exercise 1. Rewrite each equation so that x is expressed explicitly in terms of y and/or constants. a. 4 cos x = 3 b. sin 3x = = c. 2 tan 2x = 5 d. 2 cos 3x = 1.24 e....