(adsbygoogle = window.adsbygoogle || []).push({}); (a) Let alpha (a) and beta (b) be given constant. show that t^r is a solution of the Euler equation

t^2 d^2y/dt^2 + at dy/dt + by = 0 , t>0

if r^2 + (a-1)r + b = 0

(b) suppose that (a-t)^2 = 4b. Show that (ln t)t^(1-a)/2 is a second solution of Euler's equation.

please help, i have no idea how to start this.

for (a) it says, shown that t^r is a solution, so can i just substitute in ?

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# Differential equations - 2nd order euler eq'n

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