$[ Banach Fixt Point Theorem ] $\frac{dy} {dx} = xy, \text{with} \ \ y(0) = 3,$$

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$[ Banach Fixt Point Theorem ] $\frac{dy} {dx} = xy, \text{with} \ \ y(0) = 3,$$

Convert the differential equation
$$\frac{dy} {dx} = xy, \text{with} \ \ y(0) = 3,$$
to an integral equation and use Banach Fixt Point Theorem to set up an iteration scheme to solve.

Partial Differential Equations Functional Analysis Differential Equations

Grace Lee

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Erdos

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$[ Banach Fixt Point Theorem ] $\frac{dy} {dx} = xy, \text{with} \ \ y(0) = 3,$$

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