Use undetermined coefficients to find the particular solution to y''+3y'-4y=3e^t
Solve the initial value problem using the method of the laplace transform. y"-4y'+3y=e^t,y(0)=0,y'(0)=5
Given two linearly independent solutions yı=e, y = 4x of y" - 3y' + 4y = 0, use the method of variation of parameters to find a particu "-3y' - 4y = 24 Select the correct answer.---Submit your work when you complete the test. b. Y* 7 c. 3p = x et d. &p=g e. Yp 5
5. (2 pts) y + 4y=++ + 3e + sin2t. In Problem 6, use the method of reduction of order to find a second solution of the given differential equation. 6. [2 pts) (t-1)’y" +5(t-1)ý + 3y = 0; 1>1, y(t) =
Solve the following initial-value problem. y" + 3y + 4y = 282(t) - 385(t) y(0) = 1, y'(0) = -2
(8a) Solve the ODE y" - 3y' = 4y (86) Solve the ODE y" - 3y' = 4y + 3 (9a) Solve the ODE" = - 4y (9b) Solve the ODE y" = -4y - 8x
(1 point) Find y as a function of t if 250y" + 4y' + 3y = 0, y'(0) = 3. y(0) = 6, y(t) = Note: This problem cannot interpret complex numbers. You may need to simplify your answer before submitting it.
5. Use the Laplace transform to solve the problem 2t y" + 3y' – 4y e2, = y(0) = 0, y'(0) = 0.
15. (8 points) Solve the initial value problem y" + 4y' + 3y-хез®, y(0) 1, y'(0) 0
Solve: y' – 4y' + 3y = 9t – 3 y(0) = 3, y'(0) = 13 y(t) = Preview