4. (10 points)Determine the longest interval in which the given initial value problem is certain to...
4. Determine the longest interval in which the initial value problem below is certain to have a unique twice- differentiable solution. ty"+3y 0 y(1) 1 (1) = 2 Explain your reasoning.
Problem 4 ( 14 points) (a) Determine the longest interval in which the given initial value problem is certain to have a unique twice-differentiable solution. Do not attempt to find the solution. (t +3)(t - 5)/" + 3ty' + 4y = 2, y(3) = 0, y(3) = -1. (b) Find the Wrongskian of two solutions of the following equation without solving the equation. (t2 – 1)y" – (t – 1)(t + 1)(t + 2)y' + (t + 2)y = 0.
Problem 4 ( 14 points) (a) Determine the longest interval in which the given initial value problem is certain to have a unique twice-differentiable solution. Do not attempt to find the solution. (t +3)(t - 5)/" + 3ty' + 4y = 2, y(3) = 0, y(3) = -1. (b) Find the Wrongskian of two solutions of the following equation without solving the equation. (t2 – 1)y" – (t – 1)(t + 1)(t + 2)y' + (t + 2)y = 0.
4. Find the longest r-interval where the initial value problem: y'+ty: = tany, y(-1) = 1 has a unique solution. (10 points)
State the longest interval, if any, in which the given IVP is certain to have a unique, twice-differentiable solution. Do not attempt to solve the differential equation. t In(5 – t) y" + - 100V t2 fy' +y = 0, y(1) = 4, y'(1) = 1 - 100
Determine (without solving the problem) an interval in which the solution of the given initial value problem is certain to exist. (Enter your answer using interval notation.) (t - 7)y' + (Int)y = 4, y(1) = 4
QUESTION 2 Find the longest interval in which the solution for the initial value problem is certain to exist: (t + 2)y" - (sint)y' + - (-1) = 0 a. (- 0,00) O b.(-2,00) oc(- 0,4) d. (-2,0) o e. (-2,4) f. none of the above
10. (10 points) Determine without solving the problem an interval in which the solution of the following initial value problem is certain to exist. (1-9)y'+(In t)y = 421 y(4) = 1
Chapter 3, Section 3.2, Additional Go Tutorial Problem 02 11 Determine the longest interval in which the initial value problem is certain to have a unique twice differentiable solution. (Do not attempt to find the solution.) (1-2))" - 217 +10y = sin , (-9) = 9, 7(-9) = 2 Type "in" for + and "-int" for -- N
1. (5 points) Find an interval containing x 0for which the given initial value problem has a unique solution. y=x2 +2 +cos(x
1. (5 points) Find an interval containing x 0for which the given initial value problem has a unique solution. y=x2 +2 +cos(x