Higher order differential equation

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AcosAdAsinAssociatedAssumingBcosBdy/dxBsinCcosCharacteristicCoefficientsConstantConstantsDcosDerivativesDeterminedDifferentialDifferentiatingDirectlyEqualFirstFollowingFormFourthFunctionHighestHomogeneousHowIndependentIntegralsInvolvesNonOrderPartParticularPowersPresentRootsSecondSolutionSolvingSubstitutingSumThanUnknownVariablesWhereXcosXsinY/dx