Undetermined coefficients

  • Thread starter rbailey5
  • Start date
  • #1
10
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Homework Statement


determine the particular solution for the differential equation 2x^double prime+x=3t^2


Homework Equations





The Attempt at a Solution


since F(t)=3t^2 I used At^2+Bt+C and the first derivative is 2A+B

plugging back in I get
At^2+(4A+B)t+(2B+C)=3t^2

is this correct?
how do I solve for the variables?
 

Answers and Replies

  • #2
10
0
I got A=3, B=-12, and C=24 does that look right?
 

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