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algebraic expression algebraic factors arbitrary constants arbitrary function auxiliary equation CHAPTER condition of integrability constant and equal constant coefficients constant there results continuous function cosec Definition derivatives or differentials Determine the curve differentiation with respect dv dv dv dv dx dv dy dx dv dx dx dx dy dz dy dv dy dy E.M.F. is constant Eliminate equa equation becomes equation then becomes equations dx dy exact differential equation EXAMPLE EXERCISES Find following equations form Pdx hand member zero independent variable infinite series integrating factor left hand member linear differential equation linearly independent method of Art Multiply ordinary differential equation ordinary linear differential original equation partial differential equation partial fractions preceding article right hand member second order single valued Singular solutions solu Solve the equation symbolic factors tangent line theorem tion valued and continuous viewed as algebraic