equazioni differenziali f x y y y y n 0 l incognita la funzione y
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Equazioni differenziali F(x ,y, y’,y’’,…,y n )=0 l’incognita è la funzione y

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Equazioni differenziali F(x ,y, y’,y’’,…,y n )=0 l’incognita è la funzione y. 2° Ordine y’’=f(x) a · y’’+a · y’+cy=0 Δ =0 y=(c 1 x+c 2 )e zx Δ >0 y=c 1 e z1x + c 1 e z2x Δ <0 y=e α x (C1cos β x+C2sen β x). 1° Ordine y’=f(x) y’=f(x) ·h(y) y’=a(x)·y+b(x)

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equazioni differenziali f x y y y y n 0 l incognita la funzione y
Equazioni differenzialiF(x,y,y’,y’’,…,yn)=0l’incognita è la funzione y

2° Ordine

  • y’’=f(x)
  • a·y’’+a·y’+cy=0

Δ=0 y=(c1x+c2)ezxΔ>0 y=c1ez1x+ c1ez2xΔ<0 y=eαx(C1cosβx+C2senβx)

1° Ordine

  • y’=f(x)
  • y’=f(x)·h(y)
  • y’=a(x)·y+b(x)
    • b(x)=0 y=k·eA(X) A(X) è lintegrale di a(x)
    • b(x)≠0
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