Question

Solve the given differential equation by undetermined coefficients. (y'' - 14y' + 49y = 49x + 4)

a) (y(x) = -x² + x + C₁e7x + C₂xe7x)
b) (y(x) = -x² + x + C₁e7x + C₂e7x)
c) (y(x) = -x² + x + C₁e7x + C₂x²e7x)
d) (y(x) = -x² + x + C₁x²e7x + C₂e7x)