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rk-tan

sol: rk((x*y^2)/2 + (...

Calculate

rk-sin

result: rk(x*sin(y)+y...

Calculate

rk-sin

result: rk(x*sin(y)+y...

Calculate

rk

f: x2^2+t^2+x1^2;

result: rk([x2,f],[x1...

Calculate

rk-tan

sol: rk((x*y^2)/2 + (...

Calculate

rk

pts:rk(y-(x-2)^2, y, ...

Calculate

rk-sin

result: rk(x*sin(y)+y...

Calculate

rk

result: rk(y^(1/3)+x^...

Calculate

rk-sin

result: rk(x*sin(y)+y...

Calculate

rk

sol: rk([4-x^2-4*y^2,...

sol;

Calculate

rk

Run Example
(%i1)result: rk(((y-x)*sin(y*x)),y,5,[x,-3,10,0.1]);
(%o1) [[- 3, 5], [- 2.9, 4.437674780748283], [- 2.8, 4.462011491837269], 
[- 2.7, 4.586110203555572], [- 2.6, 4.745473012471332], 
[- 2.5, 4.925332389376685], [- 2.4, 5.122082648452681], 
[- 2.3, 5.335951371507967], [- 2.2, 5.568610493939755], 
[- 2.1, 5.822456451362866], [- 2.0, 6.100459972766338], 
[- 1.9, 6.406213064540006], [- 1.8, 6.744061436492595], 
[- 1.7, 7.119298743148908], [- 1.6, 7.538429709865417], 
[- 1.5, 8.009523349402457], [- 1.4, 8.542688101917909], 
[- 1.3, 9.150710292947638], [- 1.2, 9.849899831501928], 
[- 1.1, 10.66115567573268], [- 1.0, 11.61109694091529], 
[- 0.9, 12.73240422801607], [- 0.8, 14.05951126915607], 
[- 0.7, 15.60109155789042], [- 0.6, 17.18216614036799], 
[- 0.5, 17.60870376473243], [- 0.4, 16.28352186031173], 
[- 0.3, 17.04699895963675], [- 0.2, 18.67153483455791], 
[- 0.1, 18.15796170018035], [0.0, 16.9748108649895], [0.1, 18.14294259758864], 
[0.2, 18.65870130500707], [0.3, 17.07863293942715], [0.4, 16.36161915486202], 
[0.5, 17.5932586257231], [0.6, 17.20638305440314], [0.7, 15.72355470091753], 
[0.8, 14.35441214611837], [0.9, 13.42256966861004], [1.0, 13.52032027380415], 
[1.100000000000001, 14.3288684722572], [1.2, 13.72473312553487], 
[1.3, 12.80555990210402], [1.4, 11.90681687799816], [1.5, 11.09223904103386], 
[1.600000000000001, 10.37048718816664], [1.7, 9.73431228120943], 
[1.800000000000001, 9.172280847344435], [1.9, 8.673144986813446], 
[2.0, 8.227216440159339], [2.100000000000001, 7.826528688339948], 
[2.2, 7.464611553660763], [2.300000000000001, 7.136202249626115], 
[2.4, 6.836992826002452], [2.5, 6.56343176529668], 
[2.600000000000001, 6.312573458231622], [2.7, 6.081965187768359], 
[2.800000000000001, 5.869562710006372], [2.9, 5.673667912758386], 
[3.0, 5.492884151874554], [3.100000000000001, 5.326086544875647], 
[3.2, 5.172405815628657], [3.300000000000001, 5.031225281935476], 
[3.4, 4.902191139052023], [3.5, 4.785235807979614], 
[3.600000000000001, 4.680611441356332], [3.7, 4.588922683021562], 
[3.800000000000001, 4.51112867183104], [3.9, 4.448446165404911], 
[4.0, 4.402028625374295], [4.100000000000001, 4.372264036926429], 
[4.2, 4.357670552299489], [4.300000000000001, 4.353848144745031], 
[4.4, 4.35352274131246], [4.5, 4.348398947084699], 
[4.600000000000001, 4.331881719075291], [4.7, 4.30058442074811], 
[4.800000000000001, 4.253713345264512], [4.9, 4.191273181948321], 
[5.0, 4.112365821617212], [5.1, 4.014475991336682], 
[5.200000000000001, 3.895535531390356], [5.300000000000001, 3.76140438672922], 
[5.4, 3.63102586278815], [5.5, 3.521490474569624], [5.6, 3.433539532480061], 
[5.700000000000001, 3.359750969330649], 
[5.800000000000001, 3.293981305095513], [5.9, 3.232971397896864], 
[6.0, 3.175243192424779], [6.1, 3.120124170456137], 
[6.200000000000001, 3.06726322035541], [6.300000000000001, 3.016437700796482], 
[6.4, 2.967483558543225], [6.5, 2.920270016164411], 
[6.600000000000001, 2.874690047640952], [6.700000000000001, 2.83065785565719], 
[6.800000000000001, 2.788112373522923], [6.9, 2.747031495963191], 
[7.0, 2.707473456048027], [7.100000000000001, 2.669698542533514], 
[7.200000000000001, 2.63455558731323], [7.300000000000001, 2.604793641130309], 
[7.4, 2.588491059751161], [7.5, 2.573654276997369], 
[7.600000000000001, 2.492493336680742], 
[7.700000000000001, 2.474084174762838], 
[7.800000000000001, 2.481051681661025], [7.9, 2.310377109352376], 
[8.0, 2.470859971844421], [8.100000000000001, 2.52069928797462], 
[8.200000000000001, 2.421350083412636], 
[8.300000000000001, 2.405530821339541], [8.4, 2.474603317024763], 
[8.5, 2.327575490467552], [8.600000000000001, 2.472005075935695], 
[8.700000000000001, 2.194765551000867], 
[8.800000000000001, 1.918719343219902], [8.9, 1.750627588397179], 
[9.0, 1.357622827504271], [9.100000000000001, 1.138644402246663], 
[9.200000000000001, 0.74957332797638], [9.300000000000001, 1.106580498354709], 
[9.4, 0.66273073002655], [9.5, 0.82883942730555], 
[9.600000000000001, 1.038800906615676], 
[9.700000000000001, 1.583050215238806], 
[9.800000000000001, 1.641985526668064], [9.9, 1.778801529616948], 
[10.0, 1.752012636075708]]
(%i2) plot2d([discrete, result]);
plotplot2d([discrete, result]);
Run Example
result: rk(x*sin(y)+y*sin(x),y,-2,[x,-1,5,0.1]);
(%o1) [[- 1, - 2], [- 0.9, - 1.757037313842795], [- 0.8, - 1.548459932584421], 
[- 0.7, - 1.374516940537385], [- 0.6, - 1.233077439694283], 
[- 0.5, - 1.120873797280061], [- 0.4, - 1.034424889817311], 
[- 0.3, - 0.97058527266901], [- 0.2, - 0.92681481010586], 
[- 0.1, - 0.90128300774374], [0.0, - 0.89289380364406], 
[0.1, - 0.90128300752101], [0.2, - 0.9268148080466], 
[0.3, - 0.97058526654018], [0.4, - 1.034424879109829], 
[0.5, - 1.120873786954176], [0.6, - 1.2330774433845], 
[0.7, - 1.374516976857475], [0.8, - 1.548460005089033], 
[0.9, - 1.757037378545495], [1.0, - 1.999999966332647], 
[1.1, - 2.273542834416308], [1.2, - 2.569945307139254], 
[1.3, - 2.878686109637773], [1.4, - 3.188834454277601], 
[1.5, - 3.491528583997136], [1.6, - 3.781340608092715], 
[1.7, - 4.056277042668273], [1.8, - 4.316991168281269], 
[1.9, - 4.565893500557055], [2.0, - 4.806544609723964], 
[2.1, - 5.043434142234045], [2.2, - 5.282129056006286], 
[2.3, - 5.529755507529757], [2.4, - 5.795752106236415], 
[2.5, - 6.092620793642309], [2.6, - 6.435618295364179], 
[2.7, - 6.838407169807223], [2.8, - 7.299883577223483], 
[2.9, - 7.785021287060351], [3.0, - 8.226030541742771], 
[3.100000000000001, - 8.561183104399884], [3.2, - 8.767796222021325], 
[3.3, - 8.856648314711979], [3.4, - 8.852334311213076], 
[3.5, - 8.780578101503691], [3.600000000000001, - 8.662920262388715], 
[3.7, - 8.515099479161721], [3.800000000000001, - 8.347124125794425], 
[3.9, - 8.164016944162988], [4.0, - 7.966528027506175], 
[4.100000000000001, - 7.751277528788695], [4.2, - 7.509800462421755], 
[4.300000000000001, - 7.225635752603592], [4.4, - 6.867847190522696], 
[4.5, - 6.379870783378075], [4.600000000000001, - 5.680097831240163], 
[4.7, - 4.768964238327176], [4.800000000000001, - 3.912307601930725], 
[4.9, - 3.343828579725686], [5.0, - 3.024003391891168]]
(%i2) 
Run Example
result: rk((sin(y-x))/(x+y), y, -1, [x,0,-1,3,0.1]);
(%o1)                             [[0, - 1]]
(%i2) plot2d ([discrete, result]);
plotplot2d ([discrete, result]);

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