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  1. J

    Laplace transforms and ODE

    I think you got caught up in some simple confusion. The Laplace Transform transforms a function of some variable (it could be x or t or whatever) to a function of s by the rule F(s)=\int_{0}^{\infty}f(t)e^{-st}dt So in your case f(x)\longrightarrow F(s) and your equation will go...
  2. J

    How can I determine if the equation (2x+3) + (2y-2)y' = 0 is exact or not?

    It is common practice to write it as M(x,y)dx+N(x,y)dy=0 and then to differentiate N with respect to x and M with respect to y to check if the equation is exact. The whole method depends on the fact that there is some function where, \frac{\partial \Phi}{\partial x}=M(x,y),\text{...
  3. J

    Nonlinear first order DE

    Are you sure it isn't homogeneous?