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.] 35. y ( x ) = 4 + ∫ 0 x 2 t y ( t ) d t
Solution Summary: The author explains the integral equation that contains the function y(x) and the second fundamental theorem of calculus.
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.]
35.
y
(
x
)
=
4
+
∫
0
x
2
t
y
(
t
)
d
t
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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