Runge-kutta formula

[Arshi]

Hi
I have tried this problem for almost two days. Still, I can't solve. Please, help me.

Apply Range-Kutta fourth order method to find an approximate value of x when y = 0.5. given that dx/dy = √{x+2y) and x = 1 when y = 0 using h = 0.1. ...........................edited

Thanks in advance ❤❤

 

[HallsofIvy]

Okay do you know what the "Runge-Kutta method" is?
Look at "https://en.wikipedia.org/wiki/Runge...n mathematicians Carl Runge and Wilhelm Kutta."

Do you mean "dy/dx= 2y" rather than "dy+ 2y"?

 

[Arshi]

Hi
I have tried this problem for almost two days. Still, I can't solve. Please, help me.

Apply Range-Kutta fourth order method to find an approximate value of x when y = 0.5. given that dx/dy = √(x+ 2y ) and x = 1 when y = 0 using h = 0.1.

Thanks in advance ❤❤

 

[Arshi]

Okay do you know what the "Runge-Kutta method" is?
Look at "https://en.wikipedia.org/wiki/Runge–Kutta_methods#:~:text=In numerical analysis, the Runge–Kutta methods are a,the German mathematicians Carl Runge and Wilhelm Kutta."

Do you mean "dy/dx= 2y" rather than "dy+ 2y"?

Yes, I know the method. I made a mistake on the question. Sorry for that.

I mean dx/dy = √(x+2y)............................ OP corrected

 

[HallsofIvy]

Good. Now, go ahead and try using Runge-Kutta and show us what you got.