[理工] [工數]- ODE + Laplace

[hola5566 (hate 119)]

1. dx/dt = 1 + x^2  , x(0) = 1   求T使lim  x(t) = ∞
                                      t->T

2. y(t) = At^n  ,  求解d^2y/dt^2  +  2/y^2  =  0

      d^2y       dy
3. x^2----  -  4x--  +  6y  = x^2 sinx
      dx^2       dx

  這題是Cauchy等維  可是卡在求特解..後面那項sinx代換成sin(e^t)後不會解


Thanks~

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