Use Euler’s method with h = 0.1 to approximate the

QUESTION:

Use Euler’s method with h = 0.1 to approximate the solution to the initial value problem

\(y\prime=\frac{1}{x^{2}}-\frac{y}{x}-y^{2}\),               \(y(1)=-1\)

on the interval \(1 \leq x \leq 2\). Compare these approximations with the actual solution \(y=-1/x\) (verify!) by graphing the polygonal-line approximation and the actual solution on the same coordinate system.

Equation Transcription:

Text Transcription:

h=0.1

y'=1 over x^2 - y over x - y^2

y(1)=-1

1 </= x </= 2

y=-1/x