Consider the Initial Value Problem This Question Is Related

Multiple Choice

Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
For this problem, you will need these values to carry out the computations:

To use the corrector formula, you need f₄ . Which of the following is the correct expression for f₄

A) $0.2 \times 2-5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right) -59\left(2 \times 0.10+5 y_{2}\right) +37\left(2 \times 0.05+5 y_{1}\right) -9 \times 5\right]\right]$
B) $5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right) -59\left(2 \times 0.10+5 y_{2}\right) +37\left(2 \times 0.05+5 y_{1}\right) -9 \times 5\right]\right)$
C) $0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right) -59\left(2 \times 0.10+5 y_{2}\right) +37\left(2 \times 0.05+5 y_{1}\right) -9 \times 5\right]\right]$
D) $-5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right) -59\left(2 \times 0.10+5 y_{2}\right) +37\left(2 \times 0.05+5 y_{1}\right) -9 \times 5\right]\right]$