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Mathematical Methods in the Physical Sciences

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Find the general Solution of each of the following differential equations.

y^1 + xy = sin x

(x^2)(y^11) + 2xy^1 + y = x^2

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Problem

Find the general solution of

1)
2)

Solution

1) Starting with

Consider what happens when you multiplier through by which acts as an integrating factor

Unfortunately the integral cannot be simplified in any meaningful ...

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