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‎dev/.documenter/manual/API.md‎

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Transforms a higher-order differential equation system into an equivalent first-order system by introducing additional variables. Modifies the system in place. The `time` parameter specifies the independent variable used for differentiation.
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/06a6e1c35b4028f9c8ecffca3853c614541c33f6/src/DifferentialEquation.jl#L1" target="_blank" rel="noreferrer">source</a></Badge>
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/977d207d3f147575f0e03af0a99286cb355aa5b9/src/DifferentialEquation.jl#L1" target="_blank" rel="noreferrer">source</a></Badge>
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/977d207d3f147575f0e03af0a99286cb355aa5b9/src/HarmonicEquation.jl#L128-L169" target="_blank" rel="noreferrer">source</a></Badge>
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/977d207d3f147575f0e03af0a99286cb355aa5b9/src/krylov-bogoliubov.jl#L4" target="_blank" rel="noreferrer">source</a></Badge>
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Obtain the symbolic Jacobian matrix of `eom`. This is the linearised left-hand side of F(u) = du/dT.
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/977d207d3f147575f0e03af0a99286cb355aa5b9/src/Jacobian.jl#L6" target="_blank" rel="noreferrer">source</a></Badge>
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Obtain a Jacobian from a `DifferentialEquation` by first converting it into a `HarmonicEquation`.
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/977d207d3f147575f0e03af0a99286cb355aa5b9/src/Jacobian.jl#L24" target="_blank" rel="noreferrer">source</a></Badge>
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Get the Jacobian of a set of equations `eqs` with respect to the variables `vars`.
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/977d207d3f147575f0e03af0a99286cb355aa5b9/src/Jacobian.jl#L33" target="_blank" rel="noreferrer">source</a></Badge>
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/977d207d3f147575f0e03af0a99286cb355aa5b9/ext/ModelingToolkitExt.jl#L128" target="_blank" rel="noreferrer">source</a></Badge>
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/977d207d3f147575f0e03af0a99286cb355aa5b9/ext/ModelingToolkitExt.jl#L82" target="_blank" rel="noreferrer">source</a></Badge>
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/977d207d3f147575f0e03af0a99286cb355aa5b9/ext/ModelingToolkitExt.jl#L200" target="_blank" rel="noreferrer">source</a></Badge>
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/977d207d3f147575f0e03af0a99286cb355aa5b9/ext/ModelingToolkitExt.jl#L173" target="_blank" rel="noreferrer">source</a></Badge>
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‎dev/.documenter/manual/SciMLExt.md‎

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‎dev/.documenter/manual/extracting_harmonics.md‎

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‎dev/.documenter/manual/linear_response.md‎

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Obtain the symbolic Jacobian matrix of `eom`. This is the linearised left-hand side of F(u) = du/dT.
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Obtain a Jacobian from a `DifferentialEquation` by first converting it into a `HarmonicEquation`.
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