Question

Question 19 1 pts Problem 19: Numerical solution of Ordinary differential equations Consider the following initial value problem GE: + 15y = + 1.C: y(0) 0.5 Using Euler's method, and a time step of At = 0.2. do you expect the numerical solution not to oscillate and to be stable? No, because the time step far exceeds the critical value At stable < 0.067 for this problem. None of the above Yes, because Euler's method is explicit and there is not stability limit on At No, because Euler's method is implicit and there is not stability limit on At. Yes, because the time step seems pretty small

Answer 1

Answer(b) None of the above

Details solutions is given below

ody dt In enler Solution Given des + 159 zt y.(o)=0.5 At = 0.2 method, for stability we no need Z 6 (-2, 0) and z=th Where x = -15 so step size be less than 2/is for being stable Stable, so this is not Answer (b)