math:calculus

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math:calculus [2019/12/22 22:10] – [Differential equations] phreazermath:calculus [2019/12/22 22:28] (current) – [Differential equations] phreazer
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 $y = \frac{-1}{(1/2 x^2 + c)}$ (y is a function not value, obviously) $y = \frac{-1}{(1/2 x^2 + c)}$ (y is a function not value, obviously)
 +
 +=== Types ===
 +
 +$y' + f(x) y = g(x)$ first order, linear, "homogen" if g(x) = 0, else "inhomogen" ("Störfunktion")
 +
 +Solve inhomogen eqs:
 +
 +$y'' + a_1 y' + a_0 * y = g(x)$
 +
 +$y(x) = y_a(x) + y_p(x)$
 +
 +General solution of homogen DE $y_a(x)$ (set to 0, solve with characteristic polynom)
 +"Particular" solution of inhomogen DE $y_p(x)$
 +
 +v=6jypcZkrvLM
 +Mit Störfkt, charakteristisches Polynom, lösen.
 +
 +
  • math/calculus.1577052655.txt.gz
  • Last modified: 2019/12/22 22:10
  • by phreazer