Friday

December 19, 2014

December 19, 2014

Posted by **enigma** on Wednesday, September 26, 2012 at 10:50am.

f(x,y) = y(18.06 - y), y(0) = 12.

The exact solution of the problem increases from y(0) =12 to y = 18.06 as x increases without limit.

Determine the minimum upper bound of h for the classical 4th-order Runge Kutta method to be absolutely stable for this problem. Give your answer to 3 decimal places.

Note : You can make use of table (3.1) of Study Unit 2 Numerical Methods for Differential Equations.

**Answer this Question**

**Related Questions**

math - An initial-value problem is given by the differential equation, f(x,y) = ...

Math - Consider the initial value problem y'' +5y'+6y=0, y(0)=4.87 and y'(0)=...

Differential Equations (Another) Cont. - For the following initial value problem...

MATH - Find the solution of the given initial value problem. ty'+(t+1)y=t y(ln2...

Differential Equations - For the following initial value problem: dy/dt=1/((y+1...

College Math II - Show a complete solution to each problem. Find the exact ...

Really need help in Calculus Problem?! - Use Euler's method with step size .2 to...

Math: Differential Equations - Solve the initial value problem y' = y^2, y(0) = ...

calculus - find the solution of the initial value problem y'=xye^x; y(1)=1

maths - give the solution of the initial-value problem dy/dx=(1+2cos^2(x))/y, (y...