# Euler's method

*label*Calculus

*timer*Asked: Dec 5th, 2017

**Question description**

Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size:

x dy/dx + 2y = x^2 + 1, △x = .1, y(1) = 1

Solve the initial value problem for y explicitly:

x dy/dx + 2y = x^2 + 1, △x = .1, y(1) = 1