Solve ∫ e=tpsi

$$\int e = t \psi$$

Solve for t

$$\left\{\begin{matrix}t=\frac{ex+С}{\psi }\text{, }&\psi \neq 0\\t\in \mathrm{R}\text{, }&x=-\frac{С}{e}\text{ and }\psi =0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$t\psi =\int e\mathrm{d}x$$

The equation is in standard form.

$$\psi t=ex+С$$

Divide both sides by \psi .

$$\frac{\psi t}{\psi }=\frac{ex+С}{\psi }$$

Dividing by \psi undoes the multiplication by \psi .

$$t=\frac{ex+С}{\psi }$$

Solve for ψ

$$\left\{\begin{matrix}\psi =\frac{ex+С}{t}\text{, }&t\neq 0\\\psi \in \mathrm{R}\text{, }&x=-\frac{С}{e}\text{ and }t=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$t\psi =\int e\mathrm{d}x$$

The equation is in standard form.

$$t\psi =ex+С$$

Divide both sides by t.

$$\frac{t\psi }{t}=\frac{ex+С}{t}$$

Dividing by t undoes the multiplication by t.

$$\psi =\frac{ex+С}{t}$$