which of the following is the solution of the differential equation \(x{d^2y\over dx^2 }-2(x+1){dy\over dx}+(x+2)y=(x-2)e^x\)
1
y = xex - (c2 + \({c_1 x^3\over 3}-{x^2\over 2}+x\))
2
y = ex (c2 + \({c_1 x^2\over 3}+x\))
3
y = ex (c2 + \({c_1 x^3\over 3}-{x^2\over 2}+x\))
4
y = c2 + \({c_1 x^3\over 3}-{x^2\over 2}+x\)