Find the particular solution to the differential equation 7. [3] y" – 9y = 3e2x

Question

Question

Find the particular solution to the differential equation

7. [3] y – 9y = 3e2x

math Advanced-Math

Answer 1

Answer #1

Given, y-9y = 3e2* For the non-homogeneous part g(x) = 3e, assume a solution of the form y, = ae?. Since, y-9 y = 3e2* So,

Answer 2

Similar Homework Help Questions

Find a general solution to the differential equation. y'' – 6y' +9y=t-5e3t The general solution is...

Find a general solution to the differential equation. y'' – 6y' +9y=t-5e3t The general solution is y(t) =
Find a general solution to the differential equation. y'' - 6y' +9y=t-7e3t The general solution is...

Find a general solution to the differential equation. y'' - 6y' +9y=t-7e3t The general solution is y(t)=.
1. (9) Find the general solution to the differential equation. 1) y" - 6y' +9y =...

1. (9) Find the general solution to the differential equation. 1) y" - 6y' +9y = 0 2) y" - y' - 2y = 0 3) y" - 4y' + 7y = 0

4. Consider the differential equation y' - 6y' + 9y = 4e3t a) Find the general...

4. Consider the differential equation y' - 6y' + 9y = 4e3t a) Find the general solution of the differential equation. b) Solve the IVP: Y" - 6y' +9y = 4e3with y(0) = 1 and y'(0) = 10.
Find a general solution to the given differential equation. 32y" - 12y' - 9y = 0...

Find a general solution to the given differential equation. 32y" - 12y' - 9y = 0 A general solution is y(t) = 0
(8 pts) In this problem you will solve the non-homogeneous differential equation y" + 9y =...

(8 pts) In this problem you will solve the non-homogeneous differential equation y" + 9y = sec (3x) (1) Let C and C2 be arbitrary constants. The general solution to the related homogeneous differential equation y" + 9y = 0 is the function yn (x) = C1 yı(2) + C2 y2(x) = C1 +C2 NOTE: The order in which you enter the answers is important; that is, Cif(x) + C2g(x) + C19(x) + C2 f(x). (2) The particular solution yp(x)...

Find the explicit particular solution of the differential equation for the initial value provided. y =...

Find the explicit particular solution of the differential equation for the initial value provided. y = 5x^y-y, y(1)= -9 The explicit particular solution of the differential equation is y=[.
Find the general solution, y(t), of the differential equation t y" – 5ty' +9y=0, t> 0....

Find the general solution, y(t), of the differential equation t y" – 5ty' +9y=0, t> 0. Below C1 and C2 are arbitrary constants.
Use the method of variation of parameters to find a particular solution of the following differential...

Use the method of variation of parameters to find a particular solution of the following differential equation. y" - by' +9y = 2e 3x What is the Wronskian of the independent solutions to the homogeneous equation? W(11.72) = 0 The particular solution is yp(x) =

a. Find a particular solution to the nonhomogeneous differential equation y" + 16y = cos(4x) +...

a. Find a particular solution to the nonhomogeneous differential equation y" + 16y = cos(4x) + sin(4x). Yo = (xsin(4x))/8-(xcos(4x))/8 help (formulas) b. Find the most general solution to the associated homogeneous differential equation. Use ci and C2 in your answer to denote arbitrary constants. Enter c1 as c1 and C2 as c2. Un = c1cos(4x)+c2sin(4x) help (formulas) c. Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions y(0) = 3 and y'(0) = 2. y...