- #1

- 940

- 69

How do I left align the text below? Also, how do I create vertical spaces above and below the line stating "

*Subbing the following expressions...*"? Could you please help me with it?

To derive 14(ii) [itex]m_{0} \gamma^{2} \frac{d^{2} y}{d t^{2}}=e E_{y}^{\prime}[/itex] from 13(ii) [itex]m_{0} \frac{d^{2} y^{\prime}}{d t^{\prime 2}}=e E_{y}^{\prime}[/itex], should I proceed as follows.

[tex]

\begin{aligned}

&\frac{d^{2} y^{\prime}}{d\left(t^{\prime}\right)^{2}}=\frac{d t}{d t^{\prime}} \frac{d}{d t}\left[\frac{d t}{d t^{\prime}} \frac{d y^{\prime}}{d t}\right]\\

&\text { Subbing the following expressions in the expression above. }\\

&y^{\prime}=y \text { and } \frac{d t}{d t^{\prime}}=\frac{1}{\gamma\left(1-\frac{v}{c^{2}} \frac{d y}{d t}\right)}

\end{aligned}

[/tex]