Solve (D^2-6D+13)y=0

$$( D ^ { 2 } - 6 D + 13 ) y = 0$$

Solve for y (complex solution)

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&D=3+2i\text{ or }D=3-2i\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply D^{2}-6D+13 by y.

$$D^{2}y-6Dy+13y=0$$

Combine all terms containing y.

$$\left(D^{2}-6D+13\right)y=0$$

Divide 0 by D^{2}-6D+13.

$$y=0$$

Solve for y

$$y=0$$

Steps for Solving Linear Equation

Use the distributive property to multiply D^{2}-6D+13 by y.

$$D^{2}y-6Dy+13y=0$$

Combine all terms containing y.

$$\left(D^{2}-6D+13\right)y=0$$

Divide 0 by D^{2}-6D+13.

$$y=0$$

Solve for D (complex solution)

$$\left\{\begin{matrix}\\D=3+2i\text{; }D=3-2i\text{, }&\text{unconditionally}\\D\in \mathrm{C}\text{, }&y=0\end{matrix}\right.$$

Solve for D

$$D\in \mathrm{R}$$

$$y=0$$