Please just determine the interval with a detailed answer
Please just determine the interval with a detailed answer 4. Solve the initial value problem y'...
Solve the initial value problem and determine the interval in which the solution is valid. Round your answer to three decimal places y′=9x29y2−11, y(1)=0 Solve the initial value problem and determine the interval in which the solution is valid. Round your answer to three decimal places. 31 = avro , Y (1) = 0 3y3 = Qe The solution is valid for Number <<< Number
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.
Solve the given initial-value problem. dy = x + 5y, y(0) = 3 y(x) = Give the largest interval I over which the solution is defined. (Enter your answer using interval notation.) I =
solution for all 4 please In Problems 1-3, solve the given DE or IVP (Initial-Value Problem). [First, you need to determine what type of DE it is. 1. (2xy + cos y) dx + (x2 – x sin y – 2y) dy = 0. 1 dy 2. + cos2 - 2.cy y(y + sin x), y(0) = 1. + y2 dc 3. [2xy cos (2²y) – sin x) dx + x2 cos (x²y) dy = 0. (1+y! x" y® is...
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
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.
4. Consider the following initial value problem: y(0) = e. (a) Solve the IVP using the integrating factor method. (b) What is the largest interval on which its solution is guaranteed to uniquely exist? (c) The equation is also separable. Solve it again as a separable equation. Find the particular solution of this IVP. Does your answer agree with that of part (a)? 5 Find the general solution of the differential equation. Do not solve explicitly for y. 6,/Solve explicitly...
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.
Problem 4: 9 ptsl Suppose that a >0 and consider the initial value problem below dz 1. I2 pts] Sketch the solutions to the IVP for a-10 and a = 1 on the direction field below. Based on the direction field, does it look like the solution is defined for all real r for your choices for a? dy cos(4) II. (5 ptsl Solve the initial value problem recall that α > 0). , y(0-a. Explicitly solve for y in...