Solve y^prime(t)-3y(t)=4

$$y ^ { \prime } ( t ) - 3 y ( t ) = 4$$

Solve for t

$$t=-\frac{4}{3y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Combine all terms containing t.

$$\left(\frac{\mathrm{d}}{\mathrm{d}x}(y)-3y\right)t=4$$

The equation is in standard form.

$$\left(-3y\right)t=4$$

Divide both sides by -3y.

$$\frac{\left(-3y\right)t}{-3y}=\frac{4}{-3y}$$

Dividing by -3y undoes the multiplication by -3y.

$$t=\frac{4}{-3y}$$

Divide 4 by -3y.

$$t=-\frac{4}{3y}$$

Solve for x (complex solution)

$$x\in \mathrm{C}$$

$$y=-\frac{4}{3t}\text{ and }t\neq 0$$

Solve for x

$$x\in \mathrm{R}$$

$$y=-\frac{4}{3t}\text{ and }t\neq 0$$