1. Solve the initial value problem =[71]e, 20 = [2] Describe the behavior of the solution...
Solve the initial value problem :-( 17.00 (3) and describe the behavior of the solution as t - 00
In Problem of the solution as t- Oo 16,solve the given initial value problem. Describe the behavior 2 16. х — 5 х, х(0) 4
Use Laplace transforms to solve the following initial value problems. Where possible, describe the solution behavior in terms of oscillation and decay. y′′ +4y = δ(t−1), y(0) = 3, y′(0) = 0.
Describe the behavior of the solution corresponding to the initial value a. (a) 2y' − y = e^t/3 , y(0) = a. (b) 3y' − 2y = e^−πt/2 , y(0) = a
7. Solve the initial value problem --( y = -1 00 when the initial value is given as following: and discuss the behavior of the solution as t (you may sketch the solution curve.) (a) X(0) = (0,0.5). 7. Solve the initial value problem --( y = -1 00 when the initial value is given as following: and discuss the behavior of the solution as t (you may sketch the solution curve.) (a) X(0) = (0,0.5).
Find the solution of the given initial value problem. Describe the behavior of the solution as t + 0. 1-4 5 x, x (0) = 1 - 5 - 4 x=%) x,x(0) = () x = Enclose arguments of functions in parentheses. For example, sin (2x). Do not simplify trigonometric functions of nt, where n is a positive integer. 方程编辑器 Common Matrix sin(a) sec(a) in-- (a) cos(a) csc(a) cos" (a) tan(a) cot(a) tan-'@) Va a la U s X =...
15) 5. Use Laplace transforms to solve the initial value problem y" + y = g(t), y'(0) = 0, y(0) = 0, where 0 St< 10, 10 t 20, 0, g(t) = (t-10), 1, t < 20, and describe the qualitative behavior of the solution fort 20
6 and 7 please! You will help me alot! o 6. Solve the initial value problem. Describe the behavior of the solution as t x=(1 -5 ) x,x(0) = ( 1 ) 7. Find the general solution and describe how the solutions behave as t-00. (b) x' = 1 1 2 1 10 -1 1 -1 1
Solve the given initial value problem. = 4x + y - e (0) = 2 dt dy dt =x+uya (0) = -3 The solution is x(t)= and y(t)=
2. [25] Solve the initial value problem (20 + t)y′+ 2y =3/2(20 + t),y(0)=20 and determine the largest interval in which the solution is defined.