Question

Find the interval in which the solution of the initial value problem above is certain to exist.

|(t - 1)y' (t - 5)y = In|t + t-1, y(10) = -3 (t 5)y'n(t 2)y — 5t, y(3) - 1

Answer 1

(t-5) J (6-1) y' + t ti t t- t-1 t 2 (t1) 4lusayao 80 valid (-a,0) C0, JLIO):-3 ano l0 (1, J Any have to we tonsiden =0 that mterval

enlt-2) (t+s)y St + lnlt-) +S t t S S-キ子 t 3 lonuid to have we 3 Aus Am

thin on cupt + PH jto)-Jo ontain a <t b to Lon tunou Plt Auould n thot mten va