A special solution of differential equation y "+ 2Y '+ y = 3 is y*=

A special solution of differential equation y "+ 2Y '+ y = 3 is y*=

Let y * = ax & # 178; + BX + C, then y * '= 2aX + B, y * "= 2A, and substitute it into the original equation, 2A + 2 (2aX + b) + ax & # 178; + BX + C = 3
If ax & # 178; + (4a + b) x + (2a + 2B + C) = 3, then a = 0, B = 0, C = 3
So y * = 3