- #1

karush

Gold Member

MHB

- 3,269

- 5

#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)