AUTHORS: Jacob Manale

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We introduce a new method for solving differential equations through differentiable manifolds. The Gaussian integral is used as an illustrative example, simply because it has been declared in many texts as unsolvable through other mathematical procedures. Our argument is that the notion of whether an integral could be un-integrable, or a differential equation unsolvable, depends on the space one is working in.

KEYWORDS: Differential equations, Fibre bundles, Quotient spaces, Equivalent classes

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