将下面的初值问题化为与之等价的一阶方程组的初值问题:[tex=7.357x1.286]uDURn6KTVSzuxHB9PQPJUguPuD4Rb9vzPt996AXjhLRVDjeSKRuDw76rEH1xD9HQ[/tex],[tex=7.714x1.429]x+PIDg98PAFlB18FksDAuJKKy9Fl+AhnRgm2CY6o1m4=[/tex].
令[tex=5.214x1.357]/t2NLMnodf3nffPv1g1QgblIZT35a8sBEIclm4Z1fxc=[/tex],得[tex=12.0x3.357]fnpmC2J6JmQBLyo5NmGAz44QYLo91KgNWqu9ZXXOSoDC3kjBfNDYn6ezKrdLVsWjobvKglfQMy9tgO4hmveaT3X5D4mJCi9xqJXUujOfZOiSo1SRlQPSQ6nW7jgiBk5WecVMg4HDIarWVI77pQWp4lGRaOWzyqLclEFiItq0V1FWGShTLM6CJQ0nyijXLvDj[/tex].即[tex=17.714x2.786]NeoTBlf1CmkUoMf07Si5dOFTaeQN2RHIwPnfsjHEPfXAzHKUt0/rDBX6HhrAzN12T9pne7RP2GEnRqFlKAXfoQVwObOiCFql3SKcmMtZ/Znr08bS5OySosDZIeE6bPUUBIPXJa7oFOkN7t1uhAWW1m2Vx6kJLheqh/atcwWGNoURHZq2y52uN3JO2vkwEtotFmUSEDjGa0QGDrM54uPeBKZy+s8M7hN9FTDlB9q8i/D04kJwIhK1DHNOWr+Vh1B65nvvHYt0x77MxGSq+IDuxmaJeTQ2k+lVarsqBhn/A0YingueulEDbTFeWujIug0O[/tex].又[tex=4.857x1.357]+DIHcZlY2MGz8dl283XqIw==[/tex],[tex=7.143x1.429]ly/YJVN76TSoinIsQGUQcX8qmSLlv1UBBvWimHoz810=[/tex].于是把原初值问题化成了与之等价的一阶方程的初值问题:[tex=12.214x2.786]YZAwzpNuoQI7RTLbTE42Sc/JfoFsfsbAMLeOp0mcUPhc/xDaihh5fZ+T2ug20op2GxLkSMq/NDLBDE/9R6xHgktmWo/29Psl3p72dwN0yhFqUWQqqG+eoVTKFTvE2fmCklkTufAFTtQaJ41rQCWBQUWNyTTNEM2Rd74UTN3Y3Qg=[/tex],[tex=6.143x2.786]4TEDt9WxkA1nthRr+x1+/ThKOFSE0UJI8yFx+k3AwIN4yiHLX8vzka8+jJgAL/1CdFpYEfmpKOSlPWomTxlbwQ==[/tex],其中[tex=4.429x2.357]YZAwzpNuoQI7RTLbTE42Sd4kacHnr7YLoZXlXBUu6cFnJ1djbH5AR9tqgzuWbco9OKEnrgPVk35ML51+0Qd3mg==[/tex].
举一反三
- 初值问题化为与之等价的一阶方程组的初值问题: [tex=15.5x1.429]uDURn6KTVSzuxHB9PQPJUguPuD4Rb9vzPt996AXjhLQcpTOx4V3xJN9B7opmH2KdD3XXRPBwWd/CIQMK24tnqNWR1OrDzbY0uHYwufzmpJqFPjXCDOwFZ+OUTUpOFYZ0[/tex]
- 将初值问题化为与之等价的一阶方程组的初值问题: [tex=13.214x1.571]76JSnBIi1Gjd8oSh5JULecPB6cdeq1FM+7jx9DhC+1s/5tqJ5zFbwGbTFSU0u4/N+6e8z9NFFtd+Rca3cDpGmQ==[/tex] [tex=7.786x1.429]5N4fE/+TRNVJnPQE2QZxnqsT5mmVL9zzGTKkQrxX1C3MPzRZ5ycnnv7kXgJ/kaD8kkrB3CXxTaTd+DbPMhmbxw==[/tex]
- 以4,9,1为为插值节点,求\(\sqrt x \)的lagrange的插值多项式 A: \( {2 \over {15}}(x - 9)(x - 1) + {3 \over {40}}(x - 4)(x - 1) + {1 \over {24}}(x - 4)(x - 9)\) B: \( - {2 \over {15}}(x - 9)(x - 1) + {3 \over {40}}(x - 4)(x - 1) + {1 \over {24}}(x - 4)(x - 9)\) C: \( - {2 \over {15}}(x - 9)(x - 1) + {3 \over {40}}(x - 4)(x +1) + {1 \over {24}}(x - 4)(x - 9)\) D: \( - {2 \over {15}}(x - 9)(x - 1) + {3 \over {40}}(x - 4)(x - 1) - {1 \over {24}}(x - 4)(x - 9)\)
- 已知 x = [6, 9, 8],那么执行语句 x.insert(0, 1)之后,x的值为( )。 A: [1, 6, 9, 8] B: [6, 9, 8, 1] C: [6, 9, 1, 8] D: [6, 1, 9, 8]
- If2<em>x</em>+3=9,whatis4<em>x</em>+6? A: 3 B: 4 C: 6 D: 9 E: 18
内容
- 0
输出九九乘法表。 1 2 3 4 5 6 7 8 9 --------------------------------------------------------------------- 1*1=1 2*1=2 2*2=4 3*1=3 3*2=6 3*3=9 4*1=4 4*2=8 4*3=12 4*4=16 5*1=5 5*2=10 5*3=15 5*4=20 5*5=25 6*1=6 6*2=12 6*3=18 6*4=24 6*5=30 6*6=36 7*1=7 7*2=14 7*3=21 7*4=28 7*5=35 7*6=42 7*7=49 8*1=8 8*2=16 8*3=24 8*4=32 8*5=40 8*6=48 8*7=56 8*8=64 9*1=9 9*2=18 9*3=27 9*4=36 9*5=45 9*6=54 9*7=63 9*8=72 9*9=81
- 1
方程2(x-3)+5=9的解是(). A: x=4 B: x=5 C: x=6 D: x=7
- 2
同时掷2颗均匀骰子,X表示点数大于4出现的个数,则以下结果正确的是 A: X服从二项分布 B: P(X=0)=P(X=1) C: P(X=1)=4/9 D: P(X=0)=1/9 E: P(X=2)=4/9 F: P(X>;0)=1 G: P(X<;2)=5/9 H: P(X>;1)>;0.5
- 3
下面表达式的运行结果是( ) int x=4,y=9; x>=y?y:x A: 4 B: 9 C: 1 D: 0
- 4
X 1 2 3 4 5 6 Y 5 6 9 10 15 25 上面数据计之相关系数为何?