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I think i just need to use laplace to get to the current step and solve using ODE after that, but i am unsure if that is correct?

So the question is: A curve rise from the origin of the xy plane into the 1st quadrant. The area under the curve from (0,0) to (x,y) is 1/5 the area of the rectangle with these points as opposite vertices. So i'm solving for f(x): So far what i have is: Area(D)=1/5 xy=integral 0 to x y(t)dt and then...