33–35 An integral equation is an equation that contains an unknown function y ( x ) and an integral that involves y ( x ) . Solve the given integral equation. [ Hint: Use an initial condition obtained from the integral equation.] y ( x ) = 2 + ∫ x 1 d t t y ( t ) , x > 0
33–35 An integral equation is an equation that contains an unknown function
y
(
x
)
and an integral that involves
y
(
x
)
. Solve the given integral equation. [Hint: Use an initial condition obtained from the integral equation.]
y
(
x
)
=
2
+
∫
x
1
d
t
t
y
(
t
)
,
x
>
0
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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