Question: Suppose that we use Euler's method to approximate the solution to the differential equationdydx=x3y;,y(0.4)=2Let f(x,y)=x3y.We let x0=0.4 and y0=2 and pick a step size h=0.2.
Suppose that we use Euler's method to approximate the solution to the differential equationdydx=x3y;,y(0.4)=2Let f(x,y)=x3y.We let x0=0.4 and y0=2 and pick a step size h=0.2. Euler's method is the the following algorithm. From xn and yn, our approximations to the solution of the differential equation at the nthstage, 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.SOLVE FOR RED BOX PLS
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