Question 6 (3 points) Find y(t) solution of the initial value problem y" + 8 y'...
3. (20 points) Find the solution y = y(x) of the initial value problem y 0 − y x = cos2 (y/x) , y(1) = π 3 3. (20 points) Find the solution y = y(x) of the initial value problem 37 - = cos”(y/2),y(1) = 5
Find the solution y of the initial value problem 3"(t) = 2 (3(t). y(1) = 0, y' (1) = 1. +3 g(t) = M Solve the initial value problem g(t) g” (t) + 50g (+)? = 0, y(0) = 1, y'(0) = 7. g(t) = Σ Use the reduction order method to find a second solution ya to the differential equation ty" + 12ty' +28 y = 0. knowing that the function yı(t) = + 4 is solution to that...
Consider the initial value problem for function y, y" – ' - 20 y=0, y(0) = 2, 7(0) = -4. a. (4/10) Find the Laplace Transform of the solution, Y(8) = L[y(t)]. Y(8) = M b. (6/10) Find the function y solution of the initial value problem above, g(t) = M Consider the initial value problem for function y, Y" – 8y' + 25 y=0, y(0) = 5, y(0) 3. a. (4/10) Find the Laplace Transform of the solution. Y(s)...
Find the solution of the given initial value problem: y" + y = f(t); y(0) = 6, y'(0) = 3 where f(t) = 1, 0<t<3 0, įst<<
Question 4 Use the method of Laplace transform to find the solution of the initial value problem Zy" + y' + 4-2 δ(t-r/6) sint, y'(0)-0. y(0)-0, Solution: Question 4 Use the method of Laplace transform to find the solution of the initial value problem Zy" + y' + 4-2 δ(t-r/6) sint, y'(0)-0. y(0)-0, Solution:
Find y(t) solution of the initial value problem 3t y? Y' – 6 y3 – 4t² = 0, y(1) = 1, g(1)=1, t > 0.
Problem #2: Let y(t) be the solution to the following initial value problem 6, y'(0)3 y"7y Find Y(s), the Laplace transform ofy() Enter your answer as a symbolic function of s, as in these examples Problem #2: Submit Problem #2 for Grading Just Save Attempt #3 Problem #2 Attempt # 2 Attempt #5 Attempt#1 Attempt #4 Your Answer: Your Mark
The objective of this question is to find the solution of the following initial-value problem using the Laplace transform. The objective of this question is to find the solution of the following initial-value problem using the Laplace transform y"ye2 y(0) 0 y'(0)=0 [You need to use the Laplace and the inverse Laplace transform to solve this problem. No credit will be granted for using any other technique]. Part a) (10 points) Let Y(s) = L{y(t)}, find an expression for Y(s)...
Question 6 (30 points Solve the initial value problem. y"+8y + 16y = 0, y(0) = 1, y'(0) =1 y(t) = 5e-41 + te-4, Question 7 (30 points) Solve the following equation by undetermined coefficients. -67 5 C2e Question 9 (30 points) Solve for the general solution of the differential equation. Question 10 (10 points) Compute using the table of Laplace Transforms. (s-2) (r-2) (s+2 6 (s+2)
Find the solution of the following initial value problem. y' (t) = 6tety(0) = 2, y'(0) = 4 y(t) = 1