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Mathematics
Mathematics
Problem
Given the differential equation
d
y
d
x
=
f
(
x
)
\dfrac{dy}{dx}=f(x)
d
x
d
y
=
f
(
x
)
and the initial condition
y
(
a
)
=
y
0
y(a)=y_0
y
(
a
)
=
y
0
, write an explicit formula for the particular solution
y
=
F
(
x
)
y=F(x)
y
=
F
(
x
)
in terms of a definite integral.
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