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USP/MAT-2456/aula C-1

< USP | MAT-2456

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Equações Diferenciais

H. Guidorizzi - Vol 2

Bayec - DiPrima

Stewart - Vol 2

Dennis, Zill


ExemplosEdit

Failed to parse (lexing error): f`` + f = 0


Failed to parse (lexing error): f`(x) = x \Longrightarrow f(x) = \frac{x^2}{2} + C


Failed to parse (lexing error): f`(x) = sen(x) \Longrightarrow f(x) = - cos(x) + C


Failed to parse (lexing error): f`(x) = f(x)

ou Failed to parse (lexing error): y` = y


f(x) = Ce^x, C cte.

Em geral,

Failed to parse (lexing error): F(x, y,y`,y``, \cdots , y^{(n)}) = 0


Failed to parse (lexing error): y``` + 2xy + y = sen(x)


y = ?

ExemploEdit

Failed to parse (lexing error): y` = \frac{x}{y}


y(x) = ?

Failed to parse (lexing error): y(x) = \sqrt{k+x^2} \longrightarrow y`(x) = \frac{dy}{dx} = \frac{1}{x \sqrt{k+x^2}}xy = \frac{x}{y}

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