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August 7th, 2019, 03:47 AM  #1 
Newbie Joined: Aug 2019 From: Australia Posts: 2 Thanks: 0  Differential equation assignment
Problem 2: Consider the following Initial Value Problem (IVP) where (π‘) is the dependent function: π¦ β² = π¦ β π¦ 2 + 1.14 cos(π π‘/2 ) with π¦(0) = π¦0 and π‘ β₯ 0 Approximate the solution to the IVP using the RK4 method with the following conditions: Initial condition π¦0 = 1; time steps β = 1 8 , 1 16 , 1 32 , 1 64 ; and time interval π‘ β [0,20] Plot the RK4 approximation for all 4 time steps Discuss the results of these approximations 
August 7th, 2019, 05:45 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,921 Thanks: 2203 
Is the equation below what you intended? $y' = y  y^2 + 1.14\cos\left(e^{t/2}\right)$ with $y(0) = y_0$ and $t \geqslant 0$ 
August 7th, 2019, 05:49 AM  #3 
Senior Member Joined: Jun 2019 From: USA Posts: 120 Thanks: 40 
RungeKutta is pretty cut and dry. What part are you having trouble with, exactly?

August 7th, 2019, 08:35 AM  #4 
Newbie Joined: Aug 2019 From: Australia Posts: 2 Thanks: 0 
yes,I meant it


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