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Homework Statement
finding the general solution. I would like to know if the 20e^x will be treated as a sum of a polynomial?
Homework Equations
The Attempt at a Solution
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20  e^{x} is not a polynomial. A search on wikipedia will turn up the definition of a polynomial.Homework Statement
finding the general solution. I would like to know if the 20e^x will be treated as a sum of a polynomial?
Homework Equations
The Attempt at a Solution
That's a typo, Halls meant ##A+Be^{2x}##.It is, of course, the sum of two functions. Did you really mean to say "polynomial"?
You should look for a "particular solution" of the form A+ Be^{x}.
What are you stuck on? Have you solved the associated homogeneous equation for its general solution ##y_c##? Have you tried looking for a particular solution of the NH equation of the form ##y_p=A + Be^{2x}## as has been suggested? It is all straightforward. Show us what you have so far.can anyone help with solving it :(