The simplest differential equation we can solve for is
d y d t = k y {\displaystyle {\begin{aligned}{\frac {dy}{dt}}=ky\end{aligned}}}
which gives the solution
y ( t ) = y ( 0 ) e k t . {\displaystyle {\begin{aligned}y(t)=y(0)e^{kt}.\end{aligned}}}
How can we make our current equation look like this?
