Exponential function differential equation

The differential equation that is solved by the exponential function:

y^{'} (x) = y (x)

(4)

with initial condition:

y (0) = 1

(5)

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

 Ancestors (9)

Exponential function
Exponentiation
Numeric function
Function by signature
Function
Formalization of mathematics
Area of mathematics
Mathematics
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 Incoming links (2)

Product definition of the exponential function
Taylor expansion definition of the exponential function