Is this a non linear integral equation ?

arslan894
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fx = ∫ exp(1-x^2)^.5 limits are b,-b
 
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No. That's just an integral but your notation is very ambiguous. Tell you what, I'll give you an example of a non-linear integral equation:

f(x)=x+\int_0^1 t \left(f(t)\right)^2 dt

and the objective is to find a function f(x) that satisfies that equation.
 
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
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