SOLVE #3 AND #4 PLEASE
Use the Laplace transformation to solve the IVP. 1. y"-6y' + 9y-24-9t, y(0)-2, y, (0)-0 2. 9y" - 12y'4y50ey(0)--1,y'(0)2 3. У"-2y'--. 1 2 cos(2t) + 4 sin(2t),y(0)-4,y'(0)-0
Use the Laplace transformation to solve the IVP. 1. y"-6y' + 9y-24-9t, y(0)-2, y, (0)-0 2. 9y" - 12y'4y50ey(0)--1,y'(0)2 3. У"-2y'--. 1 2 cos(2t) + 4 sin(2t),y(0)-4,y'(0)-0
5. (10 points) Find the general solution of the following differential equations. 4y"-12y'+9y = 0 (0) = 2 y'(0) = 5 6. (10 points) What would be the form of the particular solution of y'"+y" e' + cost-21 using the method of undetermined coefficients. DO NOT SOLVE
Find a general solution to the given differential equation. 32y" - 12y' - 9y = 0 A general solution is y(t) = 0
Can you please show number #25,
#27 (Please make work readable)
21. y" + 3y" + 3y' + y = 0 22. y" – 6y" + 12y' – 8y = 0 23. y(a) + y + y" =0 24. y(4) – 2y" +y=0 In Problems 1-14 find the general solution of the given second-order differential equation. 1. 4y" + y' = 0 2. y" – 36y = 0 3. y" - y' - 6y = 0 4. y" – 3y'...
Find the values of x2 0 and y 2 0 that maximize z 10x+ 12y, subject to each of the following sets of constraints (a) x ys 13 x +4y s 16 (b) x 3y 2 12 3x y2 18 (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The maximum value occurs at .(Type an ordered pair.) 0 B. There is no maximum value.
Find the values of x2...
3t Two solutions to y'' – y' - 12y = 0 are yı = e 12 = en a) Find the Wronskian. W = Preview b) Find the solution satisfying the initial conditions y(0) = 0, y'(0) = 42 y = Preview
a) ;
and
b)
; and
c)
; and
y" - y - 12y = 0 Y(0) = 3 yo) = 5 y" - 6y + 8y = 0 Y0 = 1 yo) = 6 y" - 12y + y = 0 YO) = 2 We were unable to transcribe this image
(14) < 4 > Solve by using Laplace transform: y"+9y-30e'; y(0)-0, y' (0) 0
(14) Solve by using Laplace transform: y"+9y-30e'; y(0)-0, y' (0) 0
Consider the initial value problem y'' + y' – 12y = 0, y(0) = a, y'(0) = 5 Find the value of a so that the solution to the initial value problem approaches zero ast → a = Preview
Use the Laplace transformation to solve the IVP. y"-6y' + 9y-24-9t, y(0)-2, y' (0)-0 1.
Use the Laplace transformation to solve the IVP. y"-6y' + 9y-24-9t, y(0)-2, y' (0)-0 1.