Ciro Santilli
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Exponential function differential equation
"Exponential function"
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41
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
Exponential function
Exponentiation
Numeric function
Function
Formalization of mathematics
Mathematics
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Product definition of the exponential function
Taylor expansion definition of the exponential function