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SinIntegral






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > SinIntegral[z] > Differential equations > Ordinary linear differential equations and wronskians > For the direct function itself





http://functions.wolfram.com/06.37.13.0009.01









  


  










Input Form





Derivative[3][w][z] + ((2 Derivative[1][g][z])/g[z] - (3 Derivative[1][h][z])/h[z] - (3 Derivative[2][g][z])/ Derivative[1][g][z]) Derivative[2][w][z] + (-((4 Derivative[1][g][z] Derivative[1][h][z])/(g[z] h[z])) - (3 Derivative[2][h][z])/h[z] + (6 Derivative[1][h][z]^2)/h[z]^2 + Derivative[1][g][z]^2 - (2 Derivative[2][g][z])/g[z] + (6 Derivative[1][h][z] Derivative[2][g][z])/(h[z] Derivative[1][g][z]) + (3 Derivative[2][g][z]^2)/Derivative[1][g][z]^2 - Derivative[3][g][z]/Derivative[1][g][z]) Derivative[1][w][z] + ((2 Derivative[1][h][z] Derivative[2][g][z] - 2 Derivative[1][g][z] Derivative[2][h][z])/(h[z] g[z]) - (Derivative[1][g][z]^2 Derivative[1][h][z] + Derivative[3][h][z])/h[z] + (4 Derivative[1][g][z] Derivative[1][h][z]^2)/(g[z] h[z]^2) + (6 Derivative[1][h][z] Derivative[2][h][z])/h[z]^2 - (6 Derivative[1][h][z]^3)/h[z]^3 - (6 Derivative[1][h][z]^2 Derivative[2][g][z])/ (h[z]^2 Derivative[1][g][z]) - (3 Derivative[1][h][z] Derivative[2][g][z]^2)/(h[z] Derivative[1][g][z]^2) + (3 Derivative[2][g][z] Derivative[2][h][z] + Derivative[1][h][z] Derivative[3][g][z])/(h[z] Derivative[1][g][z])) w[z] == 0 /; w[z] == Subscript[c, 1] h[z] SinIntegral[g[z]] + Subscript[c, 2] h[z] CosIntegral[g[z]] + Subscript[c, 3] h[z]










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02