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General Solution of inhomogeneous ODE
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[QUOTE="Just_some_guy, post: 5356729, member: 509341"] I am having a little trouble with a problem I am trying to solve. Given three particular solutions Y1(x)= 1, Y2(x)= x and Y3(x)= x^2 Write down a general solution to the second order non homogeneous differential equation. What I have done so far is to realize if Y1,2 and 3 are solutions then the difference of two of the solutions is a solution to the homogeneous equation. So I used Y3-Y1, Y3-Y2 and Y2-Y1 to give three separate homogeneous equations. At this point I am trying so solve for the coefficients a(x), b(x) and c(x) from a(x)y'' + b(x)y' + c(x) y= 0 where y is the difference of two of the particular solutions. However I can seem to solve this system effectively by equating like powers etc... I was hoping someone could offer some advise or even an alternative method. I have solved problems like this with only two solutions but the case was simple.Regards Guy [/QUOTE]
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General Solution of inhomogeneous ODE
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