- #1

karush

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$\textsf{Determine the values of $r$ for which the given differential equation has solutions of the form

$ y = t^r$

for

$t > 0 $}$

$t^2y''+4ty'+2y = 0$

$\color{red}{r=-1,-2}$

$t^2y''-4ty'+4y=0$

$\color{red}{r=1,4}$

ok the book answers are in red, and obviously this is from a factored quadradic but I couldn't an example of the steps.

probably just a couple!

$\textsf{Determine the values of $r$ for which the given differential equation has solutions of the form

$ y = t^r$

for

$t > 0 $}$

$t^2y''+4ty'+2y = 0$

$\color{red}{r=-1,-2}$

$t^2y''-4ty'+4y=0$

$\color{red}{r=1,4}$

ok the book answers are in red, and obviously this is from a factored quadradic but I couldn't an example of the steps.

probably just a couple!

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