Consider the initial value problem This question relates to using the backward Euler method to approximate the solution at t = 0.4, namely = y(0.4), using a step size of h = 0.02.
Which of these equations is the result of applying the backward Euler method to solve for
A) $ y_{1}^{2}-y_{1}+25 \times 0.4^{2}=0 $
B) $ 0.02 y_{1}^{2}+y_{1}-\left(1+25 \times 0.4^{2} \times 0.02\right)=0 $
C) $ 0.02 y_{1}^{2}-y_{1}+\left(1+25 \times 0.4^{2} \times 0.02\right)=0 $
D) $ y_{1}^{2}+y_{1}-25 \times 0.4^{2}=0 $

Question

Consider the initial value problem  This question relates to using the backward Euler method to approximate the solution at t = 0.4, namely = y(0.4), using a step size of h = 0.02.
Which of these equations is the result of applying the backward Euler method to solve for   
A) $ y_{1}^{2}-y_{1}+25 \times 0.4^{2}=0 $ 
B) $ 0.02 y_{1}^{2}+y_{1}-\left(1+25 \times 0.4^{2} \times 0.02\right)=0 $ 
C) $ 0.02 y_{1}^{2}-y_{1}+\left(1+25 \times 0.4^{2} \times 0.02\right)=0 $ 
D) $ y_{1}^{2}+y_{1}-25 \times 0.4^{2}=0 $

Quizplus · Accepted Answer

The Answer of Consider the initial value problem  This question relates to using the backward Euler method to approximate the solution at t = 0.4, namely = y(0.4), using a step size of h = 0.02.
Which of these equations is the result of applying the backward Euler method to solve for   
A) $ y_{1}^{2}-y_{1}+25 \times 0.4^{2}=0 $ 
B) $ 0.02 y_{1}^{2}+y_{1}-\left(1+25 \times 0.4^{2} \times 0.02\right)=0 $ 
C) $ 0.02 y_{1}^{2}-y_{1}+\left(1+25 \times 0.4^{2} \times 0.02\right)=0 $ 
D) $ y_{1}^{2}+y_{1}-25 \times 0.4^{2}=0 $

Consider the Initial Value Problem This Question Relates to Using