Home /
Expert Answers /
Calculus /
use-euler-39-s-method-to-obtain-a-four-decimal-approximation-of-the-indicated-value-carry-out-the-re-pa202
(Solved): Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the re ...
Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion of the equation \[ y_{n+1}=y_{n}+h f\left(x_{n}, y_{n}\right) \] by hand, first using \( h=0.1 \) and then using \( h=0.05 \). \( y^{\prime}=x+y^{2}, y(0)=0 ; \quad y(0.2) \) \( y(0.2) \approx \quad(h=0.1) \) \( y(0.2) \approx \mid \quad(h=0.05) \)
Expert Answer
sol)Given initial value problem is y?=x+y2,y(0)=0 here f(x,y)=x