An integral equation is an equation that contains an unknown function y(x) and an integral that involves y(x). solve the given integral equation. [hint: use an initial condition obtained from the integral equation.] y(x) = 36 + x 2t y(t) dt 0

It looks like the integral equation is

We can get an initial condition right away by setting , for which we get

Now, differentiating both sides of the integral equation gives

so that solves the differential equation,

This ODE is linear, and multiplying both sides by lets us condense the left side into the derivative of a product:

Integrate both sides to get

and solve for :

Knowing that , we find , so that the integral equation has the particular solution,

answer: 298143

step-by-step explanation:

hey seth! : )

i’m not 100% sure, but i think it’s b

hope this ya : p

miss u!

- nicole