A Short Course on Differential Equations |
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arbitrary constants auxiliary equation c₁ c₁x c₂ c₂e CHAPTER contain continuous function ct a² d'y dx² d'y dy d³y Definition derivatives Determine the curve dr² dx dx dx dy dx dx dz dx³ dy dz dz dx dz dy equa equation becomes equation dy equation Mdx exact differential EXAMPLE Find independent variable indicial equation integral left hand member linear differential equation m₁ m₂ Multiply ordinary differential equation ordinary linear differential original equation P₁ P₂ partial differential equation partial fractions particular solutions positive integer preceding article right hand member roots second order single valued solu Solve the equation Substitute subtangent Suppose symbolic factors theorem tion valued and continuous ӘР дг дх ди ди ди др ду дг дф дф მა მყ