Use the finite difference approach to solve the following differential equation with Δ,-2 and y 0-5 and answer to five decimal places) )(20) 8, (Round the final d y The solution of the equation at x=...
Use a step size of 0.1 and round your answers to five decimal places if needed. Use Euler's method to approximate the solution x1o for the IVP y' Ty, y(0)-1. The Euler approximation for xio is Find all equilibrium solutions of y' 2y(o)13-yol. The solutions are y0 and 3 Find the equilibrium solutions and determine which are stable and which are unstable. 0 0 (unstable); y-3 (stable) y y-3 (unstable); y- 0 (stable) y3 (stable); y- 0 (unstable) y-0 (stable);...
Write a MATLAB code to solve below 2nd order linear ordinary differential equation by finite difference method: y"-y'-0 in domain (-1, 1) with boundary condition y(x-1)--1 and y(x-1)-1. with boundary condition y an Use 2nd order approximation, i.e. O(dx2), and dx-0.05 to obtain numerical solution. Then plot the numerical solution as scattered markers together wi exp(2)-explx+1) as a continuous curve. Please add legend in your plot th the analytical solution y-1+ Write a MATLAB code to solve below 2nd order...
solve using matlab or by hand. For the following differential equation, answer the questions. -y"+y=x (0.0 SX 35.0) y(0.0)=1.0, y(5.0)= 2.0 (1) Solve the differential equation analytically. (2) Solve the differential equation using centered finite difference approximation of y" with a step size of 1.0 and check the accuracy of the solutions.
Solve the differential equation and use matlab to plot the solution 2. dy +2xy f(x), y(0) = 2 dx f(x)=x0sx<1 l0 x 2 1 Solve the differential equation and use matlab to plot the solution 2. dy +2xy f(x), y(0) = 2 dx f(x)=x0sx
PLEASE ROUND FINAL ANSWER TO THREE DECIMAL PLACES!! PLEASE ROUND FINAL ANSWER TO TWO DECIMAL PLACES!! A small bob is attached to a cord of length 12m and is released from rest when - Take -0.30 m. 8 Required information Determine the time required for the bob to return to point A (Round the final answer to the decimal places) The time required for the bob to return to point is? Asmall bob is attached to a cord of length...
(8 points) Solve the following differential equation: (y - x)dx + (x + y2)dy = 0. = constant. help (formulas)
Question 2: (20 points) Consider the function signum Find the general global solution of the differential equation y" + (sgn x)y - 0. N.B. The general global solution is a function y: RR that is twice differentiable and verifies the differential equation (1) on R. Question 2: (20 points) Consider the function signum Find the general global solution of the differential equation y" + (sgn x)y - 0. N.B. The general global solution is a function y: RR that is...
Solve the homogeneous differential equation -y d) dy 0. (Note: Some algebraic manipulation goes into putting your answer into the form below.) (1 point) Use substitution to find the general solution of the differential equation (2-y) dx + x dy = 0. (Use C to denote the arbitrary constant and Inl input if using In.) help (formulas)
1. Find the particular solution of the differential equation dydx+ycos(x)=2cos(x)dydx+ycos(x)=2cos(x) satisfying the initial condition y(0)=4y(0)=4. 2. Solve the following initial value problem: 8dydt+y=32t8dydt+y=32t with y(0)=6.y(0)=6. (1 point) Find the particular solution of the differential equation dy + y cos(x) = 2 cos(z) satisfying the initial condition y(0) = 4. Answer: y= 2+2e^(-sin(x)) Your answer should be a function of x. (1 point) Solve the following initial value problem: dy ty 8 at +y= 32t with y(0) = 6. (Find y as...
8. Solve the following differential equation given the initial condition y(0) = -5: dy 2.c dr 1+22 9. Solve the following differential equation using the method of separation of variables: dy = x²y. dic