Research Discussion Paper – 1974 Equation (A.37)

dXL dt = F 1 (           ) [ PN ( 1 − TI ) . [ WE ∂ ( 1 + TP ) ∂ t + ( 1 + TP ) ∂ WE ∂ t ] − WE ( 1 + TP ) [ ∂ PN ∂ t ( 1 − TI ) + ∂ ( 1 − TI ) ∂ t PN ] [ P N ( 1 − T I ) ] 2 ] + F 2 (           ) [ PN ∂ PT ∂ T − ∂ PN ∂ t PT PN 2 ] + F 3 (           ) [ ∂ Q ∂ t ] − J 1 (           ) [ PN [ ∂ WE ∂ t ( 1 − TY ) + ∂ ( 1 − T Y ) ∂ T WE ] − ∂ PN ∂ t WE ( 1 − TY ) PN 2 ] − J 2 (           ) [ PN ∂ PT ∂ t − ∂ PN ∂ t   PT PN 2 ] MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaadaWcaa qaaiaabsgacaqGybGaaeitaaqaaiaabsgacaqG0baaaiabg2da9iaa bAeadaWgaaWcbaGaaGymaaqabaGcdaqadaqaaiaaykW7caaMc8UaaG PaVlaaykW7caaMc8oacaGLOaGaayzkaaWaamWaaeaadaWcaaqaaiaa bcfacaqGobWaaeWaaeaacaaIXaGaeyOeI0IaaeivaiaabMeaaiaawI cacaGLPaaacaGGUaWaamWaaeaacaqGxbGaaeyramaalaaabaGaeyOa Iy7aaeWaaeaacaaIXaGaey4kaSIaaeivaiaabcfaaiaawIcacaGLPa aaaeaacqGHciITcaqG0baaaiabgUcaRmaabmaabaGaaGymaiabgUca RiaabsfacaqGqbaacaGLOaGaayzkaaWaaSaaaeaacqGHciITcaqGxb GaaeyraaqaaiabgkGi2kaabshaaaaacaGLBbGaayzxaaGaeyOeI0Ia ae4vaiaabweadaqadaqaaiaaigdacqGHRaWkcaqGubGaaeiuaaGaay jkaiaawMcaamaadmaabaWaaSaaaeaacqGHciITcaqGqbGaaeOtaaqa aiabgkGi2kaabshaaaWaaeWaaeaacaaIXaGaeyOeI0IaaeivaiaabM eaaiaawIcacaGLPaaacqGHRaWkdaWcaaqaaiabgkGi2oaabmaabaGa aGymaiabgkHiTiaabsfacaqGjbaacaGLOaGaayzkaaaabaGaeyOaIy RaaeiDaaaacaqGqbGaaeOtaaGaay5waiaaw2faaaqaamaadmaabaGa amiuaiaad6eadaqadaqaaiaaigdacqGHsislcaWGubGaamysaaGaay jkaiaawMcaaaGaay5waiaaw2faamaaCaaaleqabaGaaGOmaaaaaaaa kiaawUfacaGLDbaaaeaacqGHRaWkcaqGgbWaaSbaaSqaaiaaikdaae qaaOWaaeWaaeaacaaMc8UaaGPaVlaaykW7caaMc8UaaGPaVdGaayjk aiaawMcaamaadmaabaWaaSaaaeaacaqGqbGaaeOtamaalaaabaGaey OaIyRaaeiuaiaabsfaaeaacqGHciITcaqGubaaaiabgkHiTmaalaaa baGaeyOaIyRaaeiuaiaab6eaaeaacqGHciITcaqG0baaaiaabcfaca qGubaabaGaaeiuaiaab6eadaahaaWcbeqaaiaaikdaaaaaaaGccaGL BbGaayzxaaGaey4kaSIaaeOramaaBaaaleaacaaIZaaabeaakmaabm aabaGaaGPaVlaaykW7caaMc8UaaGPaVlaaykW7aiaawIcacaGLPaaa daWadaqaamaalaaabaGaeyOaIyRaaeyuaaqaaiabgkGi2kaabshaaa aacaGLBbGaayzxaaaabaGaeyOeI0IaaeOsamaaBaaaleaacaaIXaaa beaakmaabmaabaGaaGPaVlaaykW7caaMc8UaaGPaVlaaykW7aiaawI cacaGLPaaadaWadaqaamaalaaabaGaaeiuaiaab6eadaWadaqaamaa laaabaGaeyOaIyRaae4vaiaabweaaeaacqGHciITcaqG0baaamaabm aabaGaaGymaiabgkHiTiaabsfacaqGzbaacaGLOaGaayzkaaGaae4k amaalaaabaGaeyOaIy7aaeWaaeaacaaIXaGaeyOeI0IaamivaiaadM faaiaawIcacaGLPaaaaeaacqGHciITcaWGubaaaiaabEfacaqGfbaa caGLBbGaayzxaaGaeyOeI0YaaSaaaeaacqGHciITcaqGqbGaaeOtaa qaaiabgkGi2kaabshaaaGaae4vaiaabweadaqadaqaaiaaigdacqGH sislcaqGubGaaeywaaGaayjkaiaawMcaaaqaaiaabcfacaqGobWaaW baaSqabeaacaaIYaaaaaaaaOGaay5waiaaw2faaaqaaiabgkHiTiaa bQeadaWgaaWcbaGaaGOmaaqabaGcdaqadaqaaiaaykW7caaMc8UaaG PaVlaaykW7caaMc8oacaGLOaGaayzkaaWaamWaaeaadaWcaaqaaiaa bcfacaqGobWaaSaaaeaacqGHciITcaqGqbGaaeivaaqaaiabgkGi2k aabshaaaGaeyOeI0YaaSaaaeaacqGHciITcaqGqbGaaeOtaaqaaiab gkGi2kaabshaaaGaaGPaVlaabcfacaqGubaabaGaaeiuaiaab6eada ahaaWcbeqaaiaaikdaaaaaaaGccaGLBbGaayzxaaaaaaa@18BB@