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**1. Homework Statement**

Construct a One-Parameter Family of implicit linear two step methods of greatest possible order.

**2. Homework Equations**

[tex]\alpha[/tex]

_{1}y

_{n+1}+ [tex]\alpha[/tex]

_{0}y

_{n}= h ([tex]\beta[/tex]

_{0}Fn + [tex]\beta[/tex]

_{1}fn+1)

I've attempted a solution, but my question isn't involving it. I'm having a major brainfart on what a one parameter family is. Its really simple, but I just don't remember.

Thanks