154_pdfsam_math 54 differential equation solutions odd

154_pdfsam_math 54 differential equation solutions odd -...

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Chapter 3 Table 3–F : Improved Euler’s method approximations to the solution of p 0 =3 p p r , p (0) = 1, on [0 , 5] with h =0 . 25 for r =1 . 5 , 2 , and 3. x n x n y n ( r . 5) r y n n ( r =2) ( r y n y ( r =3) r 0.25 1.582860 1.531250 1.390625 0.5 2.351441 2.049597 1.553472 0.75 3.267498 2.440027 1.628847 1.0 4.253156 2.686754 1.669992 1.25 5.216751 2.829199 1.694056 1.5 6.083402 2.908038 1.708578 1.75 6.811626 2.950802 1.717479 2.0 7.392146 2.973767 1.722980 2.25 7.837090 2.986037 1.726396 2.5 8.168507 2.992574 1.728522 2.75 8.410362 2.996053 1.729847 3.0 8.584317 2.997903 1.730674 3.25 8.708165 2.998886 1.731191 3.5 8.795710 2.999408 1.731513 3.75 8.857285 2.999685 1.731715 4.0 8.900443 2.999833 1.731841 4.25 8.930619 2.999911 1.731920 4.5 8.951682 2.999953 1.731969 4.75 8.966366 2.999975 1.732000 5.0 8.976596
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