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power integrals - uni-marburg.de · x3 +x2 +x+1 x2 = 1 2 x2 +x− 1 x +logx Z dx ... rational integrals substitution Z dx x x2 −1 3 = 1 8 x2 −1 4 Z dx x2 ... dx 1 x2 +x+1 = 2
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CHAPTER 9 FIRST-ORDER DIFFERENTIAL EQUATIONS · the following system of first order differential equations: 1 dy dx z 1 2 dz dx z 2 3 dz dx z 2 1 dzn dx zn 1 ,, , , ,12 1 dzn dx Fxyz
2.1 NUMERICAL SOLUTION OF SIMULTANEOUS FIRST ORDER ORDINARY … Numerical Methods–II 51 Example 1: Given dy dx = z and dz dx =– xz – y with y(0) = 1, z(0) = 0, obtain y and z
