4. (10 points) Solve the given IVP: y'"' + 8y" +22y' + 20y = 0; y(0)...
find y(t) solution of the ivp: y''+8y'+20y=-4£(t-2),y(0)=0,y'(0)=1 where £ is the S shaped character show work
Solve the given differential equation by undetermined coefficients. y" – 8y' + 20y = 100x2 – 91xet Y(x) = X =
1) Solve the following ODE with IVP 2y" + 6y' - 8y = 0 y(0) = 4 y'(0) = -1
Solve the given differential equation by undetermined coefficients. y'' − 8y' + 20y = 100x2 − 91xex
Problem 6 Solve the following IVP: a) y" – 4y" +20y'=0 ; y0)=2 , y'(0)=0, y"(0) = 6 b) y" +4y=0; y(0)=2 , y'(0) = 3
Question 6 (30 points Solve the initial value problem. y"+8y + 16y = 0, y(0) = 1, y'(0) =1 y(t) = 5e-41 + te-4, Question 7 (30 points) Solve the following equation by undetermined coefficients. -67 5 C2e Question 9 (30 points) Solve for the general solution of the differential equation. Question 10 (10 points) Compute using the table of Laplace Transforms. (s-2) (r-2) (s+2 6 (s+2)
Use the Laplace Transform method to solve the IVP y" - 8y + 16y = t4 y(0) = 1,5(0) - 4. Show all your work Note: A partial fraction decomposition will not be needed here if you carefully solve for Y(s) = {y}(s), by first moving the expression of the form -as - b with a and b positive integers to the right hand side and then dividing both sides of the equation by the coefficient of Y() which will...
4. Solve the initial value problem: y' +9y' + 20y = 0, y(0) = 1, and y'(0) = 0
Use the LaPlace Transform to solve the given IVP. y′′ + 4 y= -10e^−t y(=0) 0,−=y′(0) 4
Page 2 II. (7) Use the Laplace Transform method to solve the IVP y' - 8y + 16y = 14 y(0) = 1,5/(0) = 4 Show all your work. Note: A partial fraction decomposition will not be needed here if you carefully solve for Y (s) = {y}(s), by first moving the expression of the form -as - b with a and b positive integers to the right hand side and then dividing both sides of the equation by the...