I have been given an equation as following:
Which I am to find the general and a particular solution
I have found that this gives a general solution:
One solution =
I am then to find the particular solution
How to proceed is then my question...
and calculate from there?
How would that look?
If two polynomials are the same for all x, you can equate individual coefficients. That is what The Abstractionist did.
You can also set x to any two values and then solve the resulting two equations for a and b. For example, since , taking x= 0 gives or -4a+ b= -16. Taking x= 1 gives or so . Those are easy to solve.