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### Questions (67)

 15 What is the remainder for a taylor series of two variables. 7 Convert a general second order linear PDE into a weak form for the finite element method. 5 Show that in Lyapunov equation $A^TQ+QA=-I$, the matrix $Q$ is positive definite. 5 Differences between homeomorphic and topologically conjugate dynamical systems. 5 Use the method of characteristics to solve $u_t+uu_x+\frac{1}{2}u=0$.

### Reputation (744)

 +10 What is the remainder for a taylor series of two variables. +10 Two distinct solutions of $x'(t)=f(x(t))$ cannot intersect at any point. +10 Reference request for an introduction to delay differential equations. -2 Properties of the sequence $x_n=\sqrt{n}$.

 4 How can I solve the following ode 2 Solving Ordinary Differential Equation, 2 Find equation roots 1 Why does the weak form approximate a function in some interval? 1 What does the differential tell us about the maximum of a function?

### Tags (75)

 4 ordinary-differential-equations × 15 2 derivatives × 2 4 partial-derivative × 2 2 approximation 3 numerical-methods × 5 1 reference-request × 6 3 calculus × 2 1 partial-differential-equations × 6 2 roots × 3 1 functions × 2

### Bookmarks (15)

 17 Conditions for distinct real roots of cubic polynomials. 16 A multivariate function with bounded partial derivatives is Lipschitz 15 Continuous differentiability implies Lipschitz continuity 9 Largest eigenvalue of a real symmetric matrix 8 roots of a cubic polynomial