Please do not use other people’s answers thank you! (3) (a) Find a real number C...
any help on these two questions please?? 4.4: Let 1 0 1 and b(t)- -1 1 0 (a) Find the general real solution of the linear ODE (t) A(t). (b) Find the general real solution of the linear ODE x(t)-Ax(t) + b(t). (c) Solve the initial value problem x(t) = A2(t) + b(t), x(0) = (-2,0,2)T 4.5: Determine the general solution of the ODE x"(t)-x"(t)-r(t) + x(t) = t cost. 4.4: Let 1 0 1 and b(t)- -1 1 0...
Please state the function yp(x) for each a, b, c. Please write answers clearly Consider the following ODE for y(x): y" - 6y +9y = Q(x) where Q(x) is a given function of x. For each of the following choices of Q(x), state the simplest choice for a particular solution yp() of the ODE. Your guess for yp (1) will involve some free parameters and should be sufficiently general to allow for a particular solution of the ODE. You are...
please give the correct answer with explanations, thank you Find a particular solution, yp(), of the non-homogeneous differential equation d2 y (2) +6 (de y(x)) +9y (x) = -12 , d22 given that yn (r) = A e-31+B 1 e 30 is the general solution of the corresponding homogeneous ODE. The form of yp() that you would try is Yp = ax + 6 yp = 2040 O yp=0x2-32 Enter your answer in Maple syntax only the function defining yp()...
16 and 20 please Use this in Exercises 16-21 to find a particular solution. Then find the general solution and, where indicated, solve the initial value problem and graph the solution. 16. y' + 5y' - 6y = 6e3 17. y' – 4y + 5y = 21 18. C/ Gy" +8y' + 7y = 10e-21, y(0) = -2, y0) = 10 19. C/G Y' – 4y + 4y = et, y(0) = 2, y(0) = 0 20. y' +24' +10y...
homo 2nd order linear equations is necessarily the number -b/2a)]. 1. Find the general solution to the following homogeneous differential equations. (a) y" - 2y + y = 0 (b) 9y" + 6y + y = 0 (c) 4y" + 12y +9y = 0 (d) y' - 6y +9y = 0 2. Solve the the following initial value problems. (a) 9y" - 12y + 4y = 0 with y(0) = 2 and y(0) = -1 (b) y' + 4y +...
6. [0/2 points) DETAILS PREVIOUS ANSWERS Find the general (real) solution of the differential equation: y"- 2y'- 15y=-51 sin(3 x) -3x | Ae 5x + Be 34 y(x) = 8.5 + -cos(3x) * 17 51 14 sin(3x) - - Find the unique solution that satisfies the initial conditions: Y(0) = 2.5 and y'(o)=37 y(x) = 7. [-12 Points) DETAILS Find the general (real) solution of the differential equation: y" + 4y' + 4y=64 cos(2x) y(x) = Find the unique solution...
Please help me complete this problem!!! Thank you and please write neatly!!! (c) Consider the following general second order linear initial value problem with linear variable coefficient:s (at +bi)y"+(at +b'+(ast+bs)y 0, y(0) (00 Use the Laplace Transform to find the ODE that is satisfied by Y(s) y(t)s). What is the order of the new equation? What can you say about the solution to this equation? What can you say about the solution to the original equation? (c) Consider the following...
please answer asap thank you 5. Find the eigenvalues and any real eigenvectors of A, and use this information to sketch the phase portrait of the system * = Ax. (a) A=( - -1) 5. L) 0 1 (b) A = (32)
I need help on Number Three ONLY. Thank You! 1. Find the general solution to the ODE: y = tye-l, where t > 0. What is the limit fort → of y(t)? 2. Solve the initial Value Problem: y = y2, y) = yo, with yo ER. Does the solution exist for all tER? 3. The Kennewick Man skeleton was found on a bank of the Columbia River near Kennewick, WA on July 28, 1996. It was determined that the...
Need to check answers thank you Find the following limit. (8 pts) nding the 17. lim in >oo (5 pts) dy 20. Evaluate the integral: y +6y+10 Solution: Solution: (4 pts) (5 pts) 21. Find the derivative of the following function: y= csche(1-In csch 0) 18. Find the derivative of y= cot Vx-1 y' (5 pts) y Jn 2 tanh 2x dx 22. Evaluate the integral: (5 pts) dt 19. Evaluate the integral: 4+31 Solution: Find the following limit. (8...