Describe how solution appear to behave as t increase and howtheir behavior depends on the initial...
Describe how solutions appear to behave as t increases and how their behavior depends on the initial value yo when t-0 y-(7-y) Foryo > 0 solutions increase until they intersect the curve y, then they decrease. For yo 0,y 0 is an equilibrium solution For yo<0,solutions increase without bound as t - hen they increase. For yo > 0 solutions decrease until they intersect the curve y- For yo-0 , y-0 is an equilibrium solution. For yo < 0,solutions decrease...
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
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.
1. Solve the initial value problem =[71]e, 20 = [2] Describe the behavior of the solution as t + 0.
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
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 =...
Find y(t) solution of the initial value problem 2 y2 +bt2 y'= y(1) = 1, t>0, ty
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
please show all steps , thank you 6. Consider the initial value problem y" + 2y' + 2y = (t – 7); y(0) = 0, y'(0) = 1. a. Find the solution to the initial value problem. (10 points) b. Sketch a plot of the solution for t E (0,37]. (5 points) c. Describe the behavior of the solution. How is this system damped? (5 points)