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​The solution of the Fredholm integral equationy(s)=s+2∫01(st2+s2t)y(t) dtis\text{The solution of the Fredholm integral
Question

The solution of the Fredholm integral equationy(s)=s+201(st2+s2t)y(t) dtis\text{The solution of the Fredholm integral equation} \\y(s) = s + 2 \int_0^1 \left( st^2 + s^2t \right) y(t) \, dt \\\text{is}​​

A.

(50s+40s2)-(50s+40s^2)​​

B.

(30s+15s2)(30s+15s^2)​​

C.

(30s+40s2)-(30s+40s^2)​​

D.

(60s+50s2)(60s+50s^2)​​

Correct option is C

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