C++ Program to Solve a Differential Equation by Modified Euler's Method

C++ Program to Solve a Differential Equation by Modified Euler's Methoddownload C++ source code file

This method is similar to Euler's method , except here we use the average of slopes instead of one.

x is calculate like the earlier method  and
 y₁ = y₀ + h*f(x₀,y₀)

y₂ = y₁ +  h*(f(x₀,y₀)+f(x₁,y₁))/2

y₃ = y₂ +  h*(f(x₁,y₁)+f(x₂,y₂))/2

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y_n+1 = y_n +  h*(f(x_n,y_n)+f(x_n+1,y_n+1))/2
and so on...