Solve the initial-value problem. a) y', _ y'-12y = 0, y(0) = 3, y'(0) = 5 b) y"-4y'+3y 9x2 +4, y(...
Solve the given initial value problem. y'' – 4y'' +10y' - 12y = 0; y(0) = 1, y'(0) = 0, y''(O) = 0 y(t)=
Solve the initial value problem using the method of the laplace transform. y"-4y'+3y=e^t,y(0)=0,y'(0)=5
15. (8 points) Solve the initial value problem y" + 4y' + 3y-хез®, y(0) 1, y'(0) 0
• 4. Solve the following initial value problem using Laplace transforms: y" – 4y' + 3y = 234, Y(0) = 0,5/(0)=1.
Solve the initial value problem y" – 4y' + 4y = 0, y(0) = -3, y'(0) = -17/4
Solve the initial value problem: 4y" +12y + 17y= 0, y(1/2) = 1, y(7/2) = 1. Give your answer as y=... . Use x as the independent variable. Answer:
Solve the following initial-value problem. y" + 3y + 4y = 282(t) - 385(t) y(0) = 1, y'(0) = -2
Solve the initial value problem. y'" – 3y" - y' + 3y = 0; y(0)=5, y'0) = -3. y'(0)=5 The solution is y(t) =
(10 pts) Solve the initial value problem by Laplace transform: y" – 4y + 3y = ezt, y(0) = 0, y'(0) = 0.
Problem 1: Solve the initial value problems: a 2y" – 3y' +y=0 y(0) = 2, 7(0) = 1 by' + y - 6y = 0 y(0) = -1, y'(0) = 2 cy' + 4y + 3y = 0 y(0) = 1, y'(0) = 0 Problem 2: Solve the initial value problems: a y' +9y = 0 y(0) = 1. 1'(0) = -1 by" - 4y + 13y = 0 y(0) = 1, y'(0) = 3 cy" + ly + ly...