# Linked Questions

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### 4th-order Runge-Kutta method to solve a system of coupled ODEs [duplicate]

I am a beginner at Mathematica programming and with the Runge-Kutta method as well. I'm trying to solve a system of coupled ODEs using a 4th-order Runge-Kutta method for my project work. I have ...
1answer
823 views

### Solve the following differential equation using the fourth-order Runge-Kutta method [duplicate]

I need to use Mathematica to solve the following DE by the fourth-order Runge-Kutta method and find $y(10)$: $$y'(x)=\frac{1}{2y}, y(0)=1$$ The following is the code I have so far (with step size h=0....
1answer
187 views

### Solving ODE with Runge-Kutta method [duplicate]

I am trying to solve y''+4y'+3y=0; y=1, y'=-1 with Runge-Kutta method and I have a problem that its DSolve gives the ...
0answers
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### Runge-Kutta methods in Mathematica for systems of first order Differential Equations

The algorithm isn't given any output, the graph is unidentifiable. The systems of Differential Equations considered: $$x'[t]=-x[t]+y[t]\\ y'[t]=-x[t]-y[t]\\ x=0, y=4, h=0.1$$ Please ...
0answers
100 views

### Runge-Kutta on coupled equations

I'm still pretty new to Mathematica and I'm having a few issues solving these coupled equations. I've attempted using NDSolve with method "ExplicitRungeKutta" as well as with no method, and have had ...
0answers
90 views

### Runge-Kutta method freezes or takes too much time

I want to solve differential equations iteratively to know better how algorithms work. From this discussion Problems with Runge-Kutta methods for different functions I know that the working Runge-...