Unformatted text preview: x ) , where f ( x ), the “constant” oF integration, is a Function only oF x . (b) We want to fnd M ( x, y ) so that For N ( x, y ) = sin x cos y − xy − e − y we have M y ( x, y ) = N x ( x, y ) = cos x cos y − y. ThereFore, we must integrate this last expression with respect to y . That is M ( x, y ) = Z (cos x cos y − y ) dy = cos x Z cos y dy − Z y dy = cos x sin y − y 2 2 + f ( x ) , where f ( x ), a Function only oF x , is the “constant” oF integration. 66...
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 Spring '10
 Hald,OH
 Math, Differential Equations, Linear Algebra, Algebra, Equations, Integration By Parts, Cos, Constant of integration, Boundary value problem, cos x cos

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