Runge-Kutta 4
Not what you're looking for?
1. If air resistance is proportional to the square of the instantaneous velocity, then the velocity v of a mass m dropped from a given height is determined from:
m*dv/dt = mg - kv^, k>0.
Let: v(0) = 0, k = 0.125, m = 5 slugs, and g = 32 ft/s^2
a) Use a fourth-order Runge-kutta (RK4) method with h = 1 to approximate the velocity v(5)
b) Use excel to graph the solution of the IVP on the interval [0,6].
c) Use separation of variables to solve the IVP and then find the actual value.
2. Find the analytic solution of the initial-value problem (IVP)
y' = -y +10sin(3x), y(0) = 0, on the interval [0,2].
a) Graph the solution and find its positive roots.
b) Use Runge-Kutta (RK4) method with h = 0,1 to approximate a solution of the initial-value problem (IVP)
Purchase this Solution
Solution Summary
The solution shows in a step by step manner how to solve a first order differential equation using order 4 Runge-Kutta method and comparing it to the analytic solution
Solution Preview
Hello and thank you for posting your question to Brainmass.
The solution is attached below in two files. the files are identical in ...
Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Probability Quiz
Some questions on probability