Source: /cirosantilli/exponential-function-differential-equation

= Exponential function differential equation

The <differential equation> that is solved by the <exponential function>:
$$
y'(x) = y(x)
$$
with <initial condition>:
$$
y(0) = 1
$$

TODO find better name for it, "<linear differential equation>[linear] homogenous differential equation of degree one" almost fully constrainst it except for the exponent constant and initial value.