Tuesday
March 31, 2015

Homework Help: math

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

Consider the initial value problem,

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

First Name:
School Subject:
Answer:

Related Questions

Differential Equations (Another) Cont. - For the following initial value problem...
Chem - Consider the exothermic reaction CoCl42-(aq) + 6 H2O(l) --> Co(H2O)62...
Math - Consider the initial value problem y'' +5y'+6y=0, y(0)=4.87 and y'(0)=...
math - Hi, I had a question about exponential growth. The problem says: The ...
math - An initial-value problem is given by the differential equation, f(x,y) = ...
Calculus - Consider f(x)=x^2/(x^2+a), a>0. Determine the effect on the graph ...
Differential Equations - For the following initial value problem: dy/dt=1/((y+1...
Statistics - As x increases, does the value of r imply that y should tend to ...
math - in scatterplot comparing x and y, the y-values are along the vertical ...
Algebra - Which of the following statements is the best description of ...

Members