Use Euler's Method with a step length of $0.25$ to estimate the value of $y(1)$ for the differen

Question

Use Euler's Method with a step length of $0.25$ to estimate the value of $y(1)$ for the differential equation $$\frac{\mathrm{d}y}{\mathrm{d}x} = x - y^2 + 2, \, y(0) = 1,$$ to $3$ significant figures.[1]

Accepted Answer

$1.63$.

Example of Euler 's method

Example of Euler 's method