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1 point) Suppose that we use Euler's method to approximate the solution to the differential equation dy x dx Let f(x,y)-x ly. We letx0-0 and yo = 1 and pick a step size h = 0.2. Euler's method is the the following algorithm. From x, and yn, our approximations to the solution of the differential equation at the nth stage, we find the next stage by computing Km+1 = x,' + h, yn+1 = yn + h-fon, yn). the following table Xn yn 0 2 4 The exact solution can also be found using separation of variables. It is y(x) = Thus the actual value of the function at the pointx1 y(1) =
Show transcribed image text 1 point) Suppose that we use Euler's method to approximate the solution to the differential equation dy x dx Let f(x,y)-x ly. We letx0-0 and yo = 1 and pick a step size h = 0.2. Euler's method is the the following algorithm. From x, and yn, our approximations to the solution of the differential equation at the nth stage, we find the next stage by computing Km+1 = x,' + h, yn+1 = yn + h-fon, yn). the following table Xn yn 0 2 4 The exact solution can also be found using separation of variables. It is y(x) = Thus the actual value of the function at the pointx1 y(1) =