Consider the nonhomogeneous differential
equationy"-2y'-3y=2(e^(
find a paricular solution to the non homogeneous equation.
also write the general solutiong to the
nonhomogeneousequation.

Step-by-step explanation:

For homogeneous solution:

So since roots are r = 3 and r = -1,

Since we are given , we will use undetermined coefficients. However, here the trick is we have in homogeneous solution. So in particular solution, as undetermined coefficients, we will use instead of .

Hence,

So,

Hence,

General solution is:

the equation for this situation is y=122+45. to solve the equation you would add 45 and 122 to get a total of 167lbs. in conclusion, grace's weight eight weeks ago was 167lbs.