Question

in python, encode eulers method for the ivp y’ = y where y(0)=1. set step to be .1

Answer 1

The above code can be used to solve the Initial Value Problem using Euler's method. The code takes a value of x as input and computes the value of y(x) for that value.

The code is:

x=float(raw_input("Enter value of x:"))
x0=0
y=1
while x0<x:
y=1.1*y #since the step is 0.1 we get y+h*f to be 1.1*y
x0=x0+0.1
print "The solution is", y

The following are some test outputs.