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rk-sin

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

Calculate

rk

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

sol;

Calculate

rk

a:rk([-x,y],[y,z],[0,...

Calculate

rk-tan

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

Calculate

rk-sin

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

Calculate

rk

rk(-2*x^3+12*x^2-20*x...

Calculate

rk

a:rk([-x,y],[y,z],[0,...

Calculate

rk-sin

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

Calculate

rk-sin

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

Calculate

rk-sin

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

Calculate

rk

Run Example
(%i1)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]);
Run Example
result: rk((y-x)*sin(y*x),y,-3,[x,-3,10,0.1]);
(%o1) [[- 3, - 3], [- 2.9, - 3.002956275704506], [- 2.8, - 3.01497814715935], 
[- 2.7, - 3.039681119695974], [- 2.6, - 3.079221185221166], 
[- 2.5, - 3.134610116682715], [- 2.4, - 3.206140918324695], 
[- 2.3, - 3.293733641350371], [- 2.2, - 3.397121666953261], 
[- 2.1, - 3.515859459568291], [- 2.0, - 3.64913202285946], 
[- 1.9, - 3.795292975114947], [- 1.8, - 3.950942088768232], 
[- 1.7, - 4.109125478163637], [- 1.6, - 4.255838108660788], 
[- 1.5, - 4.363719730047963], [- 1.4, - 4.384789774006471], 
[- 1.3, - 4.263237004058181], [- 1.2, - 4.011428295264131], 
[- 1.1, - 3.75234554808241], [- 1.0, - 3.585600476713052], 
[- 0.9, - 3.527110007895481], [- 0.8, - 3.563391902928128], 
[- 0.7, - 3.683010289441955], [- 0.6, - 3.881688363471018], 
[- 0.5, - 4.160378775575585], [- 0.4, - 4.520834066914049], 
[- 0.3, - 4.955894281848447], [- 0.2, - 5.427560980216484], 
[- 0.1, - 5.831901016831233], [0.0, - 5.999988581462269], 
[0.1, - 5.828177589144996], [0.2, - 5.40276547456766], 
[0.3, - 4.888847149176151], [0.4, - 4.392439970319837], 
[0.5, - 3.95215536709048], [0.6, - 3.572905234524532], 
[0.7, - 3.247778271595552], [0.8, - 2.967103575172338], 
[0.9, - 2.721406828556191], [1.0, - 2.50199055358677], 
[1.100000000000001, - 2.300637422785305], [1.2, - 2.108978928045918], 
[1.3, - 1.917790723556529], [1.4, - 1.71665027153889], 
[1.5, - 1.495120563925021], [1.600000000000001, - 1.247611447905905], 
[1.7, - 0.9822205202703], [1.800000000000001, - 0.72441054244078], 
[1.9, - 0.5033176871957], [2.0, - 0.3333269766235], 
[2.100000000000001, - 0.21227318472025], [2.2, - 0.13040807342525], 
[2.300000000000001, - 0.07722077055528], [2.4, - 0.043950970856132], 
[2.5, - 0.023962482461214], [2.600000000000001, - 0.012473664829797], 
[2.7, - 0.0061815997332607], [2.800000000000001, - 0.0029094513926649], 
[2.9, - 0.0012980628161438], [3.0, - 5.4818998748146165E-4], 
[3.100000000000001, - 2.1893015036870083E-4], [3.2, - 8.2650914014755568E-5], 
[3.300000000000001, - 2.9503908165799363E-5], [3.4, - 9.970027615989405E-6], 
[3.5, - 3.1964698594890318E-6], [3.600000000000001, - 9.7584180466815067E-7], 
[3.7, - 2.8519924244359257E-7], [3.800000000000001, - 8.0389546983771026E-8], 
[3.9, - 2.2068994398921802E-8], [4.0, - 5.9738820393801101E-9], 
[4.100000000000001, - 1.6184089259531735E-9], [4.2, - 4.4640494271799195E-10], 
[4.300000000000001, - 1.2774972694388593E-10], 
[4.4, - 3.8682979359652091E-11], [4.5, - 1.2637740278149816E-11], 
[4.600000000000001, - 4.5369751999479021E-12], 
[4.7, - 1.8193787730695608E-12], [4.800000000000001, 
- 8.2639712193117078E-13], [4.9, - 4.2999679007861252E-13], 
[5.0, - 2.5854359440248589E-13], [5.1, - 1.8078321937797463E-13], 
[5.200000000000001, - 1.4764746684313064E-13], 
[5.300000000000001, - 1.4122197856986076E-13], 
[5.4, - 1.5840698392985892E-13], [5.5, - 2.0843955480415475E-13], 
[5.6, - 3.2159998569048587E-13], [5.700000000000001, 
- 5.8119739594958573E-13], [5.800000000000001, - 1.2284542345692358E-12], 
[5.9, - 3.0314163245863474E-12], [6.0, - 8.7159679658746708E-12], 
[6.1, - 2.9136727130877854E-11], [6.200000000000001, 
- 1.1299400397182416E-10], [6.300000000000001, - 5.071937638950388E-10], 
[6.4, - 2.6290776211147218E-9], [6.5, - 1.5701931327136448E-8], 
[6.600000000000001, - 1.078054774252859E-7], 
[6.700000000000001, - 8.4898119805367428E-7], 
[6.800000000000001, - 7.6519543313077874E-6], [6.9, - 7.8763098424998218E-5], 
[7.0, - 9.2369614985372058E-4], [7.100000000000001, - 0.012222179780623], 
[7.200000000000001, - 0.036326386130581], 
[7.300000000000001, 0.24411816796985], [7.4, 0.50810668456133], 
[7.5, 0.91444026587789], [7.600000000000001, 0.88874493138923], 
[7.700000000000001, 0.71994328718977], [7.800000000000001, 0.64313498381025], 
[7.9, 0.25029180872465], [8.0, 0.44510349343778], 
[8.100000000000001, 0.55611013856176], [8.200000000000001, 0.32335318976814], 
[8.300000000000001, 0.2305822072647], [8.4, 0.47720821488453], 
[8.5, 0.53927530822476], [8.600000000000001, 0.23897690913767], 
[8.700000000000001, 0.48499398769875], [8.800000000000001, 0.19131448558041], 
[8.9, 0.43574540509237], [9.0, 0.65754729931719], 
[9.100000000000001, 0.37474140244309], [9.200000000000001, 0.47334327487461], 
[9.300000000000001, 0.28236798955359], [9.4, - 0.031541819165848], 
[9.5, - 0.3393139719949], [9.600000000000001, - 0.91373234382528], 
[9.700000000000001, - 1.373824577261231], 
[9.800000000000001, - 1.16135129828409], [9.9, - 1.399441685056412], 
[10.0, - 1.235296247859669]]
(%i2) plot2d ([discrete, result]);
plotplot2d ([discrete, result]);eqn: 'diff(y)-2/(x+1)*y=2.17^x*(x+1)^2;
                                  2 y           2     x
(%o3)                   del(y) - ----- = (x + 1)  2.17
                                 x + 1
(%i4) 

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