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Linear Integral Equations

Quick practice

Question 1 of 5

The integral equation corresponding to initial value problem.

y'’ + y = 0; y(0) = 0, y’(0) = 1 is

A

u(x)=\sin x+\int_{0}^{x}(t-x) u(t) d t

B

u(x)=x+\int_{0}^{x}(t-x) u(t) d t

C

u(x)=x(1+x)+\int_{0}^{1}(t-x) u(t) d t

D

u(x)=x+\int_{0}^{1}(t-x) u(t) d t

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