Subject: Differential Equation

Kindly solve the Differential Equation-Reduction of Order, Method of undetermined coefficients, Variation of parameters

1.(D²-5D+6)y=2e^x, use the Reduction of Order for this.

2.(D²-1)y=x-1, use the Method of undetermined coefficients for this.

3.(D²-4D+4)y=e^x, use the Variation of parameters for this.

Note: Please use y_c andy_pand do not use the Wronskian in the Reduction of Order and Variation of parameters