(6) Find the general solution of (1 - 2r – r)y" + 2(1 +x)y' – 2y = (1 – 2x – r²)² if one solution of the homogeneous equation is y1 =1 + x. Write down the form of the particular solution y, for the...

Find the general solution of

Extracted text: (6) Find the general solution of (1 - 2r – r)y" + 2(1 +x)y' – 2y = (1 – 2x – r²)² if one solution of the homogeneous equation is y1 =1 + x. Write down the form of the particular solution y, for the following differential equa- tions. { Do not solve the equation }.