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Ordinary differential equationDifferential equationIntegral curveEquilibrium pointInverse scattering transformIntegro-differential equationExact differential equationMathieu functionParabolic cylinder functionPartial differential equationLinear differential equationCollocation methodHomotopy analysis methodRiccati equationAlgebraic equationMethod of characteristicsTranscendental equationIntegral equationBernoulli differential equationDiophantine equationFrobenius methodMatrix differential equationMidpoint methodStability theoryNonlinear programmingDifferential operatorImplicit surfaceFloquet theoryD'alembert's equationComposition algebraTranscendental functionSystem of differential equationsHeat equationCharacteristic equationAlgebraic integerNumerical continuationLocally integrable functionAlgebraic functionAdomian decomposition methodInitial value problemAnalytic number theoryIntegrating factorBinary quadratic formAlgebraic numberNumerical methodBoundary value problemSystem of equationsMilstein methodDiffusion processMathematical problemImaginary unitFunctional calculusBiharmonic equationNullclineEuler's theoremHill differential equationPerturbation theoryNumerov's methodRiemann solverAlgebraic riccati equationAssociated legendre polynomialsStationary phase approximationOptimizationTotal variation diminishingBiconjugate gradient methodAlgebraic fractionTangent vectorDynamical systems theoryTrigonometric substitutionDerivationQuartic equationSimple groupInfinite element methodRelaxationLinear multistep methodDiophantine geometryAbel equation of the first kindMultiple integralEquationLinear independenceNoether's second theoremNonlinear systemExponential integratorComplex differential formConjugate gradient methodSymplectic integratorKoenigs functionPositive and negative partsCubic equationEigenvalue perturbationIntegrable systemLaplace's methodPolylogarithmic functionNewton's method in optimizationFinite difference coefficientIntegration using euler's formulaEuler's criterionLeapfrog integrationOmega constantInterpolation inequality