Find values of m for which y = e emx is a solution of the differential...

Question

Question

Find values of m for which y = e emx is a solution of the differential euqation y(4) + 4y(3) + 4y(2) = 0 using only derivativ

math Advanced-Math

Answer 1

Answer #1

Put the value of y in the given equations and solve for m from the resultant equation in m.

Answer & Let y = e me be the solution of y(4) + 4419) + 4y!) co me should satisfy ene given eqn - ye The yo. meme yle), miene

Answer 2

Similar Homework Help Questions

Undetermined Coefficients: Find the general solution for the differential equations. Find the general solution for the...

Undetermined Coefficients: Find the general solution for the differential equations. Find the general solution for the following differential equations. (1) y' - y" – 4y' + 4y = 5 - e* + e-* (2) y" + 2y' + y = x²e- (3) y" - 4y' + 8y = x3; y(0) = 2, y'(0) = 4
Find the solution of the following differential equation using Laplace transforms y" + 4y = e,y(0)...

Find the solution of the following differential equation using Laplace transforms y" + 4y = e,y(0) = 0,0) = 0
Ww Chapter 1 Section 1: Problem 4 Previous Problem Problem List Next Problem (1 point) Find...

Ww Chapter 1 Section 1: Problem 4 Previous Problem Problem List Next Problem (1 point) Find all values of m the for which the function y = emx is a solution of the given differential equation. (NOTE: If there is more than one value for m write the answers in a comma separated list.) (1) y” – y – 6y = 0, The answer is m = (2) y" – 3y" – 4y = 0 The answer is m =

Differential Equation Q: Find the general solution to the given homogeneous problem. 10 a.) y' +...

Differential Equation Q: Find the general solution to the given homogeneous problem. 10 a.) y' + y" - 2y' - 2y = 0 b.) y(4) + 4y" + 4y = 0
3. (17 points) Find the general solution of the linear differential equation y" + 5y +...

3. (17 points) Find the general solution of the linear differential equation y" + 5y + 4y = (3x - 8)e* using the method of undetermined coefficients.
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

6. [0/2 points) DETAILS PREVIOUS ANSWERS Find the general (real) solution of the differential equation: y"-...

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...
Find a general solution to the differential equation using the method of variation of parameters. y"'...

Find a general solution to the differential equation using the method of variation of parameters. y"' + 4y = 3 csc 22t The general solution is y(t) =
differential lesson Question 2: (40 marks) Find the general solution of the differential equation y" -...

differential lesson Question 2: (40 marks) Find the general solution of the differential equation y" - 3y' – 4y = Sin(t) by using the method of undetermined coefficients.

Consider the differential equation y" + 8y' + 15 y=0. (a) Find r1 r2, roots of...

Consider the differential equation y" + 8y' + 15 y=0. (a) Find r1 r2, roots of the characteristic polynomial of the equation above. = 11, 12 M (b) Find a set of real-valued fundamental solutions to the differential equation above. yı(t) M y2(t) M (C) Find the solution y of the the differential equation above that satisfies the initial conditions y(0) = 4, y(0) = -3. g(t) = M (10 points) Solve the initial value problem y" - 54' +...