Numerical Computation (Euler method)

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Homework Statement


Differential equations are important in physics.Consider Solving the differential equation dy/dx = Σ(from i to N) (ai) (x^i)
Using Euler ,Midpoint ,4th order Runge -Kutta methods.For each of these methods what is the largest value of N that would lead to an exact solution ?

Homework Equations


The Attempt at a Solution


Homework Statement


Homework Equations


The Attempt at a Solution

 
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Well, what are you having difficulty with?
 
I simply do not have an idea what i have to do
I don't understand anything. What are the conditions for exact solution ??
I don't know anything.