7. Using Fourier transform find solution of the following initial value problem: dr2' 46 7. Using Fourier transform find solution of the following initial value problem: dr2' 46
In problems 7 and 8 find the solution of the given initial value problem in explicit form: 7. sin 2.x dx + cos 3y dy = 0, y /2) = 1/3. 8. y' (1-22)/2 dy = arcsin x dx, y(0) = 1.
(a) Find the solution of the given initial value problem. (b) Draw the trajectory of the solution in the X1X2-plane, and also draw the graph of X 1 versus - 27. (7)«. «(0) = (2) ANSWER
Consider the initial value problem i. Find approximate value of the solution of the initial value problem at using the Euler method with . ii. Obtain a formula for the local truncation error for the Euler method in terms of t and the exact solution . 2,,2 5 0.1 y = o(t) 2,,2 5 0.1 y = o(t)
(1 point) Consider the Initial Value Problem 7-177] -[1] (a) Find the eigenvalues and eigenvectors for the coefficient matrix. Find the solution to the initial value problem. Give your solution in real form. Use the phase plotter pplanom in MATLAB to help you describe the trajectory An ellipse with clockwise orientation • 1. Describe the trajectory.
Answer is E 7. Find the solution to the initial value problem dy da 6ry2(3ar2 + 2xy + 2y) 0 y(1) 3 A. 6ry2y2x = 37 B. ry y2 +x = 22 C. 3r2y2+ x3 + 2r2 + 2y = 21 D. y2ry y2 + x = 31 E. 3x2yxy2 y? = 27
Find an explicit solution of the given initial-value problem. V1 - y2 dx - V1 – x2 dy = 0, 7(0) = 1) =
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 an explicit solution of the given initial-value problem. dx/dt = 7(x^2 + 1), x(π/4)=1
please solve the initial-value problem only thanks 2. Now find the explicit solution for the initial-value problem = y(ay - 1), y(0) = 1, by treating it as a Berno equation, and provide a graph of the solution function using Plot[y[x].(x,0,1}]. dz