Use Eulers method to find approximate values of the solution of the given initial value problem...

Use Eulers method to find approximate values of the solution of the given initial value problem at T=0.5 with h=0.1.

12. y'=y(3-ty) y(0)=0.5

Expert Solution

Colby Messinger answered 1 year ago

Use eulers Method with step size h=.01 to approximate the solution to the initial value problem...

Use eulers Method with step size h=.01 to approximate the solution to the initial value problem y'=2x-y^2, y(6)=0 at the points x=6.1, 6.2, 6.3, 6.4, 6.5

use the method of order two to approximate the solution to the following initial value problem...

use the method of order two to approximate the solution to the following initial value problem y'=e^(t-y),0<=t<=1, y(0)=1, with h=0.5

Use the method of Undetermined Coefficients to find the solution of the initial value value problem:...

Use the method of Undetermined Coefficients to find the solution of the initial value value problem: y'' + 8y' + 20y = 9cos(2t) - 18e-4t, y(0) = 5. y'(0) = 0

Use power series approximations method to approximate the solution of the initial value problem: y"− (1+...

Use power series approximations method to approximate the solution of the initial value problem: y"− (1+ x) y = 0 y(0) = 1 y'(0) = 2 (Write all the terms up to the power ). x^4

Compute, by Euler’s method, an approximate solution to the following initial value problem for h =...

Compute, by Euler’s method, an approximate solution to the following initial value problem for h = 1/8 : y’ = t − y , y(0) = 2 ; y(t) = 3e^(−t) + t − 1 . Find the maximum error over [0, 1] interval.

Calculate the Euler method approximation to the solution of the initial value problem at the given...

Calculate the Euler method approximation to the solution of the initial value problem at the given x-values. Compare your results to the exact solution at these x-values. y' = y+y^2; y(1) = -1, x = 1.2, 1.4, 1.6, 1.8

1) Find the solution of the given initial value problem and describe the behavior of the...

1) Find the solution of the given initial value problem and describe the behavior of the solution as t → +∞ y" + 4y' + 3y = 0, y(0) = 2, y'(0) = −1. 2) Find a differential equation whose general solution is Y=c1e2t + c2e-3t 3) 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(t − 4)y" + 3ty' + 4y...

Use Euler's Method to make a table of values for the approximate solution of the differential...

Use Euler's Method to make a table of values for the approximate solution of the differential equation with the specified initial value. Use n steps of size h. (Round your answers to six decimal places.) y' = 10x – 3y, y(0) = 7, n = 10, h = 0.05 n xn yn 0 1 2 3 4 5 6 7 8 9 10

Use the finite difference method and the indicated value of n to approximate the solution of...

Use the finite difference method and the indicated value of n to approximate the solution of the given boundary-value problem. (Round your answers to four decimal places.) x2y'' + 3xy' + 5y = 0, y(1) = 6, y(2) = 0; n = 8 x y 1.000 ? 1.125 ? 1.250 ? 1.375 ? 1.500 ? 1.625 ? 1.750 ? 1.875 ? 2.000 ?

Let y′=y(4−ty) and y(0)=0.85. Use Euler's method to find approximate values of the solution of the...

Let y′=y(4−ty) and y(0)=0.85. Use Euler's method to find approximate values of the solution of the given initial value problem at t=0.5,1,1.5,2,2.5, and 3 with h=0.05. Carry out all calculations exactly and round the final answers to six decimal places.

Question