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I lose a big class of solutions when making a differential equation homogenous substituting $y=z^m$

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#ordinary-differential-equations #homogeneous-equation
435
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Decomposition of a homogeneous polynomial into a sum of harmonic and $x^2 q$.

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#polynomials #harmonic-functions #homogeneous-equation
149
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"Square root" of a decomposition of a homogeneous polynomial to harmonic and $x^2 q$.

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#polynomials #harmonic-functions #homogeneous-equation #clifford-algebras #spin-geometry
474
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Homogeneous representation of the line passing through the points

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#geometry #euclidean-geometry #euclidean-algorithm #homogeneous-equation #homogeneous-spaces
57
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L2 Regression and homogeneous of degree 1

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#linear-algebra #convex-analysis #regression #homogeneous-equation
39
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identifying independent columns when solving a homogeneous set of equations i.e. Ax = 0

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#linear-algebra #systems-of-equations #homogeneous-equation
120
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Doubt related to Linear Differential Equations

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#calculus #ordinary-differential-equations #homogeneous-equation
413
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What is the relationship between linear, non-homogeneous system of differential equations and linear, non-homogeneous system of equations?

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#linear-algebra #ordinary-differential-equations #systems-of-equations #homogeneous-equation
157
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Homogeneous first-order Differential Equation $y' = x/y$

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#ordinary-differential-equations #homogeneous-equation
123
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Solving the First-Order Homogeneous ODE $y'-\frac{1}{3x}y=\frac{x}{3y}$

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#ordinary-differential-equations #absolute-value #homogeneous-equation
45
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Polynomial terminology on linear differential equations?

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#ordinary-differential-equations #polynomials #terminology #homogeneous-equation
94
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Why is this homogeneous function a polynomial?

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#linear-algebra #homogeneous-equation
95
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Finding reason for removal of the logarithm in ODE

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#ordinary-differential-equations #absolute-value #initial-value-problems #homogeneous-equation
682
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Differentiating a homogeneous function

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#ordinary-differential-equations #homogeneous-equation
538
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Solution to a 2nd order ODE with a Gaussian coefficient

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#ordinary-differential-equations #homogeneous-equation

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