How do I "guess" a one-parameter family of solutions to the differential equation y' = (2y)/t?

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- Apr 5th 2013, 03:16 PMdspinneyone-parameter family of solutions
How do I "guess" a one-parameter family of solutions to the differential equation y' = (2y)/t?

- Apr 5th 2013, 03:33 PMProve ItRe: one-parameter family of solutions
Why guess? Just solve the DE, it's separable.

- Apr 5th 2013, 03:44 PMdspinneyRe: one-parameter family of solutions
That's what I was thinking... this class is so new to me and the instructor isn't always so good with teaching us all that we need to know. So I solved it and got 2ln(t) + C... this would be the one-parameter family?

- Apr 11th 2013, 07:53 AMHallsofIvyRe: one-parameter family of solutions
Yes, and what is the parameter? In other words, which value do you change to get a different solution to that same differential equation?

- Apr 11th 2013, 06:11 PMProve ItRe: one-parameter family of solutions