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2. Homogeneous differential equation - Wikipedia

   en.wikipedia.org/wiki/Homogeneous_differential...

   A linear differential equation is homogeneous if it is a homogeneous linear equation in the unknown function and its derivatives. It follows that, if φ(x) is a solution, so is cφ(x), for any (non-zero) constant c. In order for this condition to hold, each nonzero term of the linear differential equation must depend on the unknown function or ...

3. Homogeneous function - Wikipedia

   en.wikipedia.org/wiki/Homogeneous_function

   A norm over a real vector space is an example of a positively homogeneous function that is not homogeneous. A special case is the absolute value of real numbers. The quotient of two homogeneous polynomials of the same degree gives an example of a homogeneous function of degree zero. This example is fundamental in the definition of projective ...

4. List of unsolved problems in mathematics - Wikipedia

   en.wikipedia.org/wiki/List_of_unsolved_problems...

   Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

5. Characteristic equation (calculus) - Wikipedia

   en.wikipedia.org/wiki/Characteristic_equation...

   In mathematics, the characteristic equation (or auxiliary equation [1]) is an algebraic equation of degree n upon which depends the solution of a given n th-order differential equation [2] or difference equation. [3] [4] The characteristic equation can only be formed when the differential equation is linear and homogeneous, and has constant ...

6. Autonomous system (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Autonomous_system...

   These finite-duration solutions cannot be analytical functions on the whole real line, and because they will be non-Lipschitz functions at the ending time, they don't stand [clarification needed] uniqueness of solutions of Lipschitz differential equations. As example, the equation:

7. 30 Math Puzzles (with Answers) to Test Your Smarts - AOL

   www.aol.com/30-math-puzzles-answers-test...

   Who says math can't be fun?! These math puzzles with answers are a delightful challenge. The post 30 Math Puzzles (with Answers) to Test Your Smarts appeared first on Reader's Digest.

8. Green's function - Wikipedia

   en.wikipedia.org/wiki/Green's_function

   the solution of the initial-value problem = is the convolution (). Through the superposition principle , given a linear ordinary differential equation (ODE), L y = f {\displaystyle Ly=f} , one can first solve L G = δ s {\displaystyle LG=\delta _{s}} , for each s , and realizing that, since the source is a sum of delta functions , the solution ...

9. A College Student Just Solved a Notoriously Impossible Math ...

   www.aol.com/college-student-just-solved...

   A college student just solved a seemingly paradoxical math problem—and the answer came from an incredibly unlikely place. Skip to main content. 24/7 Help. For premium support please call: 800 ...