math
posted by enigma .
An initialvalue problem is given by the differential equation,
f(x,y)=20xy^2, y(1)=1.
Use the classical fourthorder RungeKutta method with a stepsize of h=0.02, to obtain the approximate value of y(1.02). Give your answer to 6 decimal places.
Respond to this Question
Similar Questions

Calculus
Use Euler's method with step size 0.2 to estimate y(1.4), where y(x) is the solution of the initialvalue problem below. Give your answer correct to 4 decimal places. y' = x  xy y(1) = 0 h = 0.2 Since I am at y(1) = 0 and not y(0) … 
calculus
Use Euler's method with given values of to obtain an approximation of the initial value problem when x=3 . Round your answers to four decimal places, if necessary. dy/dx= x+y, y(0) =3 n=4, y(3)= n=6, y(3)= 
math
An initialvalue problem is given by the differential equation, f(x,y)=x(1y^2), y(1)=0.07 Use the Eulertrapezoidal method with a stepsize h = 0.1, to obtain the approximate value of y(1.1). Give your answer to 4 decimal places. 
math
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 4thorder … 
math
An initialvalue problem is given by the differential equation, f(x,y) = x + y, y(0) = 1.64 The Eulermidpoint method is used to find an approximate value to y(0.1) with a step size of h = 0.1. Then use the integrating factor method, … 
Maths
An initialvalue problem is given by the differential equation, f(x,y) = –20xy2, y(1) = 1. Use the classical fourthorder RungeKutta method with a stepsize of h = 0.02, to obtain the approximate value of y(1.02). Give your answer … 
maths
An initialvalue problem is given by the differential equation, f(x,y) = x + y, y(0) = 1.64 The Eulermidpoint method is used to find an approximate value to y(0.1) with a step size of h = 0.1. Then use the integrating factor method, … 
PLEEEEEAAAASE HELP WITH DIFFERENTIAL EQ PROBLEMS!!
1) What are the equilibrium solutions to the differential equation and determine if it is stable or unstable with the initial condition y(4)=1: 0.1(y+2)(4y) 2) Use Euler's method with step size=0.5 and initial condition y(0)=3 to … 
calculus
1.Solve the differential equation dy/dx= y^2/x^3 for y=f(x) with the condition y(1) = 1. 2.Solve the differential equation y prime equals the product of 2 times x and the square root of the quantity 1 minus y squared. Explain why the … 
Calculus
Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initialvalue problem given below. (Round your answer to four decimal places.) y' = 1 − xy y(0) = 0 I don't even know how to start!