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**(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.

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 ?

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

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