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#### karush

##### Well-known member

- Jan 31, 2012

- 2,678

#20 this is the last one of the set

$ty'+(t+1)y=t \quad y(\ln{2}=1,\quad t>0$

rewrite

$y'+\left(\dfrac{t+1}{t}\right)y=1$

$u(t)=e^{\displaystyle\int\dfrac{t+1}{t}dt}=e^{t+\ln |t|}$

well anyway wasn't sure about the (t+1)