Solve 1GB=M^primekB

$$1 GB = M ^ { \prime } kB$$

Solve for B (complex solution)

$$\left\{\begin{matrix}\\B=0\text{, }&\text{unconditionally}\\B\in \mathrm{C}\text{, }&G=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract \frac{\mathrm{d}}{\mathrm{d}x}(M)kB from both sides.

$$1GB-\frac{\mathrm{d}}{\mathrm{d}x}(M)kB=0$$

Reorder the terms.

$$BG-Bk\frac{\mathrm{d}}{\mathrm{d}x}(M)=0$$

Reorder the terms.

$$-Bk\frac{\mathrm{d}}{\mathrm{d}x}(M)+BG=0$$

Combine all terms containing B.

$$\left(-k\frac{\mathrm{d}}{\mathrm{d}x}(M)+G\right)B=0$$

The equation is in standard form.

$$GB=0$$

Divide 0 by G.

$$B=0$$

Solve for G (complex solution)

$$\left\{\begin{matrix}\\G=0\text{, }&\text{unconditionally}\\G\in \mathrm{C}\text{, }&B=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Reorder the terms.

$$BG=Bk\frac{\mathrm{d}}{\mathrm{d}x}(M)$$

The equation is in standard form.

$$BG=0$$

Divide 0 by B.

$$G=0$$

Solve for B

$$\left\{\begin{matrix}\\B=0\text{, }&\text{unconditionally}\\B\in \mathrm{R}\text{, }&G=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract \frac{\mathrm{d}}{\mathrm{d}x}(M)kB from both sides.

$$1GB-\frac{\mathrm{d}}{\mathrm{d}x}(M)kB=0$$

Reorder the terms.

$$BG-Bk\frac{\mathrm{d}}{\mathrm{d}x}(M)=0$$

Reorder the terms.

$$-Bk\frac{\mathrm{d}}{\mathrm{d}x}(M)+BG=0$$

Combine all terms containing B.

$$\left(-k\frac{\mathrm{d}}{\mathrm{d}x}(M)+G\right)B=0$$

The equation is in standard form.

$$GB=0$$

Divide 0 by G.

$$B=0$$

Solve for G

$$\left\{\begin{matrix}\\G=0\text{, }&\text{unconditionally}\\G\in \mathrm{R}\text{, }&B=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Reorder the terms.

$$BG=Bk\frac{\mathrm{d}}{\mathrm{d}x}(M)$$

The equation is in standard form.

$$BG=0$$

Divide 0 by B.

$$G=0$$