SOLUTION: y''+7y'+12y=2x find particular solution

Algebra ->  Test -> SOLUTION: y''+7y'+12y=2x find particular solution      Log On


   

Question 1062060: y''+7y'+12y=2x find particular solution
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y%5Bp%5D=ax%2Bb
dy%2Fdx=a
%28d2y%29%2F%28dx2%29=0
So then,
0%2B7%28a%29%2B12%28ax%2Bb%29=2x
7a%2B12ax%2B12b=2x
12ax%2B%287a%2B12b%29=2x
So,
12a=2
a=2%2F12
a=1%2F6
and
7%281%2F6%29%2B12b=0
12b=-7%2F6
b=-7%2F72
Then,
y%5Bp%5D=x%2F6-7%2F72