Question

how do i solve a first order DE using Eulers method? how do i get the software first?? help...

Answer 1

I'm confused, u want to do manually or u want to do with software?

Answer 2

this is a numerical method for equations of form dy/dx = f(x,y)
given an initial condition y = ya eulers method generates a sequence of approximations
yn =approx y(xn) and y n+1 is obtained from yn by the formula
y n+1 = yn + hf(xn, yn ), n = 1,2,3,.....
where y1 = ya and xn+1 = xn + h and h is a positive step-size

for example
y' = (1-x)y + cos x, y(0) = 1
eulers method forms y1 = 1 + 2h as an approximation to y(h)