(Solved): Question 5 Identify the characteristic equation of the following differential equation and the roo ...

Question 5 Identify the characteristic equation of the following differential equation and the roots of the characteristic equation: $$4y^{??}?4y^{?}+y=0$$ Characteristic equation: $$4{?}^2?4{?}^1+?=0;$$ repeated real root: $$\frac{1}{2}$$ Characteristic equation: $$4{?}^2?4{?}^1+?=0$$; roots: $$?\frac{1}{2},\frac{1}{2}$$ Characteristic equation: $$4{?}^2?4?+1=0$$; repeated real root: $$\frac{1}{2}$$ (D) Characteristic equation: $$4{?}^2?4?+1=0$$; roots: $$?\frac{1}{2},\frac{1}{2}$$