interval of validity calculator


  • How do you find the interval of validity?

    Identify p(t) and g(t) Find out where p(t) and g(t) are not continuous. List the intervals where both p(t) and g(t) are continuous. From the listed continuity intervals identify the one containing the initial condition, this is your interval of validity.
  • What is an example of a PDE?

    An example of a partial differential equation is ?2u?t2=c2?2u?x2 ? 2 u ? t 2 = c 2 ? 2 u ? x 2 . This is a one dimensional wave equation.
  • How to convert PDE to ODE?

    In our proposed algorithm, the given PDE is converted to the corresponding ODE by using the transforma- tion ? = kx + ?t.
  • Solving PDEs analytically is generally based on finding a change of variable to transform the equation into something soluble or on finding an integral form of the solution. a ?u ?x + b ?u ?y = c. dy dx = b a , and ?(x, y) independent (usually ? = x) to transform the PDE into an ODE.
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