Solve the initial value problem: 4y''+12y'+9y=0 y(0)=1, y'(0)=-4 a. Using the characteristic equation of the above....

Solve the initial value problem:

4y''+12y'+9y=0 y(0)=1, y'(0)=-4

a. Using the characteristic equation of the above.

b. Using Laplace transform.

Expert Solution

milcah answered 2 years ago

Solve the initial value problem: y''' - 12y'' + 48y' - 72y = 0 ; y(0)...

Solve the initial value problem: y''' - 12y'' + 48y' - 72y = 0 ; y(0) = 1, y'(0) = 0, y''(0) = 0

Solve the following initial value problem. y(4) − 5y′′′ + 4y′′ = x, y(0) = 0, y′(0) ...

Solve the following initial value problem. y(4) − 5y′′′ + 4y′′ = x, y(0) = 0, y′(0) = 0, y′′(0) = 0, y′′′(0) = 0.

Solve the laplace transform to solve the initial value problem. y"-6y'+9y=t. Y(0)=0, y'(0)=1

use laplace transform to solve the initial value problem: y''+4y=3sint y(0)=1, y'(0)=-1

solve the initial value problem using the method of undetermined coefficients y''+9y=sin3t, y(0)=0, y'(0)=2. Please list...

solve the initial value problem using the method of undetermined coefficients y''+9y=sin3t, y(0)=0, y'(0)=2. Please list every step for algebra.

Solve the differential equation. y''-3y'-4y=5e^4x initial conditions: y(0)=2 y'(0)=4

Solve the initial value problem below using the method of Laplace transforms. y"-4y'+13y=10e^3t y(0)=1, y'(0)=6

Solve the differential equation. y'''-4y''+5y'-2y=0 Initial Conditions: y(0)=4 y'(0)=7 y''(0)=11

solve the following initial value problem y''+4y'=g(t),y(0)=0,y' (0)=1 if g(t) is the function which is 1...

solve the following initial value problem y''+4y'=g(t),y(0)=0,y' (0)=1 if g(t) is the function which is 1 on [0,1) and zero elsewhere

(3 pts) Solve the initial value problem 25y′′−20y′+4y=0, y(5)=0, y′(5)=−e2. (3 pts) Solve the initial value...

(3 pts) Solve the initial value problem 25y′′−20y′+4y=0, y(5)=0, y′(5)=−e2. (3 pts) Solve the initial value problem y′′ − 2√2y′ + 2y = 0, y(√2) = e2, y′(√2) = 2√2e2. Consider the second order linear equation t2y′′+2ty′−2y=0, t>0. (a) (1 pt) Show that y1(t) = t−2 is a solution. (b) (3 pt) Use the variation of parameters method to obtain a second solution and a general solution.

Question