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**Unformatted text preview: **4 /x depends only on x , we can determine ( x ) from equation (8) on page 70 of the text. This gives ( x ) = exp Z 4 x dx = x 4 . When we multiply the dierential equation by ( x ) = x 4 we get the exact equation ( x 2 3 x 4 y 2 ) dx + 2 x 3 y dy = 0 . To nd F ( x, y ) we integrate ( x 2 3 x 4 y 2 ) with respect to x : F ( x, y ) = Z ( x 2 3 x 4 y 2 ) dx = x 1 + x 3 y 2 + g ( y ) . 94...

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