Find the general solution of y'' + y'-6y=(9x-2)e^(2x). (Use the method of undetermined coefficients)
Please show all work and steps!
Find the general solution of y'' + y'-6y=(9x-2)e^(2x). (Use the method of undetermined coefficients) Please show...
5. Using the method of undetermined coefficients, find the general solution to y" +5y' + 6y = e'
Exercise 2.5.152: Apply the method of undetermined coefficients to find the general solution to the following DEs. Determine the form and coefficients of yp Exercise 2.5.152: Apply the method of undetermined coefficients to find the general solution to the following DEs. Determine the form and coefficients of yp a) y" – 2y' = 8x + 5e3x b) y'"' + y" – 2y' = 2x + e2x c) y'' + 6y' + 13y = cos x d) y'" + y" –...
Given: y''+2y'=2x+5-e^-2x General solution is: y=c1e^-2x+c2 +1/2(x^2)+2x+1/2(xe^-2x) Solve using the method of undetermined coefficients and show all steps please! I have the form of yp is Ax^2+Bx+Cxe^-2x, and the issue that plagues me is in solving for A B C. I get A=1/2 and I get B=2, but the terms involving C fall off the face of the earth when I substitute y' and y'' of the solution form into the equation, so how can I solve for C? Help...
5. Use the method of undetermined coefficients to find the general solutions of the fol- lowing nonhomogeneous equations (a) y'' – y = 12xe® + 3e2x + 10 cos 3x (b) y" + 4y = 2 cos 2x sin 2x (c) (Euler Equation) x²y" – 4xy' + 6y = x², x > 0
Use the method of undetermined coefficients to find the general solution to the ODE: y" + y' = x + 2 (ans: C1 + C2e-x + (1/2)x2 + x)
Use the Method of Undetermined Coefficients to find the general solution for the differential equation: y"-2y'+2y= e^(x)sinx Answer should be: y= ce^(x)cosx+ce^(x)sinx-(x/2)e^(x)cosx
Use the method of undetermined coefficients to find a general solution to the system Homework: HW 9.7 Save Score: 0 of 1 pt 1 of 9 (0 complete) HW Score: 0%, 0 of 9 pts Question Help Use the method of undetermined coefficients to find a general solution to the system x'(t) = Ax(t) + f(t), where A and f(t) are given. 6 1 14 f(t)- 3 4 x(t)
9. Find the general solution y(t) using the method of undetermined coefficients. (d) y" 4y + 4y = tºe21
5. (10 points) Find the general solution to the DE using the method of Undetermined Coefficients: y" + 2y' + 5y = 3 sin 2x.
5. (10 points) Find the general solution to the DE using the method of Undetermined Coefficients: y" + 2y' + 5y = 3 sin 2x.