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## Homework Statement

verify that y_1(t) = t is solution of t^2y'' - t (t+2)y' + (t+2)y = 0

use "reduction of order to find 2nd linerary independent solution of equation

## Homework Equations

I am stuck on the first part. Confused as to how (which method) im expected to use to verify.

im stuck on getting the characteristic because of all the extra t's in the eqn.

im used to something with just y's like this: y'' + 5y' -7y = 0

but i dont know how to treat the t's

also when i try getting integrating factor, it doesnt work because its 2nd order (right?)

please help im totally stuck thanks