Question: I have a question about the solve function

Regards, I have a question about the solve function in maple

How does the solve function works?

I know if you have a random eq lets say y:= x-> x^2 + 5 x

and I use the function like....   solve(x^2+5x = 8) it will solve it for me giving me numerical values for x or the roots of x

If I have an eq w(x) and it has constants lets say w:= x -> a[1]x^2+a[2]x^4

and i solve this equation in this manner:    solve([w(0),w(1),D(w)(0),D(w)(1)])

it gives an answer but what is maple assuming? is it assuming that w(0) = 0? & w(1) = 0? or what is it doing? it there a way i can solve like this but telling maple that w(0) = integer and same for following equations? 

Thank you.

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