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(Solved): The ordinary differential equation is given by dxdy=xex+ywithinitialconditiony(0) ...
![The ordinary differential equation is given by
\[
\frac{d y}{d x}=x e^{-x}+y \text { with initial condition } y(0)=0
\]
Apply](https://media.cheggcdn.com/study/b86/b86b0447-37eb-4a1d-99e4-04ec0187e21c/image.jpg)
The ordinary differential equation is given by Apply Adam Bashforth Method (Second order) with step length to estimate . The actual solution is . Keep all calculations to 5 decimal places and find the error of each step. [Note: The Adam Bashforth second order is given by ]
Expert Answer
We conclude that the three-step Adams-Bashforth method is ).First, we need to calculate the values of at each step using the given differential equation: