Question: Suppose that we use Euler's method to approximate the solution to the differential equationdydx=x5y;,y(0.3)=8Let f(x,y)=x5y.We let x0=0.3 and y0=8 and pick a step size h=0.2.
Suppose that we use Euler's method to approximate the solution to the differential equationdydx=x5y;,y(0.3)=8Let f(x,y)=x5y.We let x0=0.3 and y0=8 and pick a step size h=0.2. Euler's method is the the following algorithm. From xp and yp, our approximations to the solution of thedifferential equation at the nth stage, we find the next stage by computingxn+1=xn+h,yn+1=yn+h*f(xn,yn).Complete the following table. Your answers should be accurate toat least seven decimal places.The exact solution can also be found using separation of variables. Itisy(x)=Thus the actual value of the function at the point x=1.3y(1.3)=
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