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arslan894
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fx = ∫ exp(1-x^2)^.5 limits are b,-b
A non linear integral equation is a mathematical equation that involves both an unknown function and an integral. The equation is non linear because the unknown function appears in a non linear form, such as squared or cubed.
A linear integral equation involves an unknown function that appears in a linear form, such as a simple variable or a first-degree polynomial. This makes the equation easier to solve compared to a non linear integral equation.
Non linear integral equations have various applications in physics, engineering, and mathematics. They are used to model and solve problems in fields such as fluid dynamics, electromagnetism, and quantum mechanics.
There are several methods for solving non linear integral equations, including numerical methods, iterative methods, and analytical methods. The choice of method depends on the complexity of the equation and the desired level of accuracy.
Yes, non linear integral equations can have multiple solutions. This is because they are non linear and the unknown function can take on different values that satisfy the equation. In some cases, the existence and uniqueness of solutions may be proven mathematically.