Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Linear Integral Equations Fredholm and Volterra Integral Equation
Consider continuous solutions f of the following integral equation in [0, 1].
\(f^2(t)=1+2 \int_0^t f(s) d s, \forall t \in[0,1]\)
Which of the following statements is true?
1
There is no solution
2
There is exactly one solution
3
There are exactly two solutions
4
There are more than two solutions
5
Question Not Attempted