6. (10 points) Find the general solution to the DE using the method of Variation of...
5. (10 points) Find the general solution to the DE using the method of Undetermined Coefficients: y" + 2y' + 5y = 3 sin 2x.
5. (10 points) Find the general solution to the DE using the method of Undetermined Coefficients: y" + 2y' + 5y = 3 sin 2x.
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) =
Find the general solution using variation of parameters: y" – 4' – 2y = 2e+
6. Use the method of variation of parameters to find the general solution to the differential equation y" - 2y + y = x-le®
Problem 3 (12 points) Find the general solution y(2) of y" – 4y = 2631 using Variation of Parameters Method.
Find the general solution to the following differentiel
equations USING VARIATION OF PARAMETER METHOD.
. y'"' + 4y' = t y(0) = y'(0) = 0 et y'(0) = 1 3 y'" – 3y" + 2y' = t +et ; y(0) = 1; y'(0) = -et y" (0) = 2 yiv + 2y" + y = 3t +4 ; y(0) = y'(0) = 0 et y'(0) = y''(0) = 1
In each of Problems 1 through 3, use the method of variation of parameters to find a particular solution of the given differential equation. Then check your answer by using the method of undetermined coefficients. 1. y" - 5y + 6y - 2 ANSWER O Y(A) = 2. y - y - 2y - 2e? ANSWER WORKED SOLUTION 2.4" - 4y + y - 16/2
using the method of variation if parameters to find the
particular solution and the general solution.
(4) Exercise 4: given that er 2 are solutions of the corresponding complementary equation.
Find a general solution to the differential equation using the method of variation of parameters. y' +9y = 4 sec 3t The general solution is y(t) =