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Estudos Gerais04/15/2025

Ex. 1 → y' = 2y \quad y(0) = 3 Ex. 2 → y' = \frac{x}{y} \qu...

Ex. 1 → y' = 2y \quad y(0) = 3

Ex. 2 → y' = \frac{x}{y} \quad y(1) = 2

Ex. 3 → y' = (1 + y^2)(1 + x^2) \quad y(0) = 0

Variáveis Separáveis

Ex. 4 → xy' + y = 2x \quad y(1) = 0

Ex. 5 → y' - 3y = 6e^{3x} \quad y(0) = 1

Ex. 6 → y' - \frac{2y}{x} = \frac{\ln(x)}{x^2} \quad y(1) = 0

Fator Integrante

resolva de forma detalhada

Ex. 1 → y' = 2y \quad y(0) = 3

Ex. 2 → y' = \frac{x}{y} \quad y(1) = 2

Ex. 3 → y' = (1 + y^2)(1 + x^2) \quad y(0) = 0

Variáveis Separáveis

Ex. 4 → xy' + y = 2x \quad y(1) = 0

Ex. 5 → y' - 3y = 6e^{3x} \quad y(0) = 1

Ex. 6 → y' - \frac{2y}{x} = \frac{\ln(x)}{x^2} \quad y(1) = 0

Fator Integrante
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