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TransformationPartial derivativeOrdinary differential equationDifferential equationFunction applicationTrigonometric substitutionCross-multiplicationImplicit function theoremPartial differential equationDiscretizationSubstitutionMatrix differential equationApproximation theoryFunctional calculusTransformIntegrating factorGenerating function transformationDerivationImplicit functionPartialSummation by partsIntegration by substitutionIntegro-differential equationFormal derivativeFunctional derivativeParametric equationInverse function ruleDifferential operatorIntegral transformOperational calculusGoverning equationChain ruleEquationLinear differential equationNondimensionalizationAlternating functionPerturbation theoryMultivariable calculusShift operatorDerivativeLogarithmic differentiationComposite functionMathematical analysisPrecompositionFunction compositionCalculus of variationsSeparation of variablesReductionOrthogonalizationBinary functionExponential functionCurryingLinear approximationPartial applicationSymmetric polynomialMultiplication of vectorsSlack variableQuotient ruleDivisor functionOrder of integrationTransfer-matrix methodMultiple integralEquivariant mapSubderivativeCollocation methodIntegralMethod of characteristicsDiscriminant functionInclusion functionPartial differentialExact differential equationGeneralizations of the derivativeOperatorAlgebraic logicParameterizationBoundary value problemRewritingSystem of linear equationsCommutation matrixCalculus on euclidean spaceIntegral equationAnalytic continuationFunctional analysisMatrix decompositionSecond derivativeComplex analysisInverse functionLogarithmic functionLogarithmic derivativeMultilinear mapGenerating functionFunctional decompositionApplied mathematicsInitial value problemDependent variableCovariant transformationIncreasing functionInverse scattering transformTransfer functionHilbert transform