3. Solve the following differential equations using the method of variation of parameters. (a) a'y" – xy + y = 2x, r > 0 (b) a²y" – 4.ry' + 6y = x², x > 0 (c) x²y" – xy + y = x³, y(1) = 1, y'(1) = –1,...

0 (b) a²y" – 4.ry' + 6y = x², x > 0 (c) x²y" – xy + y = x³, y(1) = 1, y'(1) = –1, r >0 %3D - "/>
Extracted text: 3. Solve the following differential equations using the method of variation of parameters. (a) a'y" – xy + y = 2x, r > 0 (b) a²y" – 4.ry' + 6y = x², x > 0 (c) x²y" – xy + y = x³, y(1) = 1, y'(1) = –1, r >0 %3D -