Question :
##u=\frac{E}{J}sin\phi + V##
Sustituting into ##(\frac{du}{d\phi})^{2}=\frac{E^{2}}{J^{2}}-u^{2}+2Mu^{3}##, and keeping only linear terms in ##V## attain ##cos \phi \frac{dV}{d\phi}=-sin \phi V+\frac{ME^{2}}{J^{2}}sin^{3}\phi##
My working: equalities given up to linear terms in V...
Algebra/small approx quick Q
Algebra/small approx quick Q
##u=\frac{E}{J}sin\phi + V##
Sustituting into ##(\frac{du}{d\phi})^{2}=\frac{E^{2}}{J^{2}}-u^{2}+2Mu^{3}##, and keeping only linear terms in ##V## attain ##cos \phi \frac{dV}{d\phi}=-sin \phi V+\frac{ME^{2}}{J^{2}}sin^{3}\phi##
My working: equalities given up to linear terms in V...
Algebra/small approx quick Q
Algebra/small approx quick Q
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