2 Partial derivative proof of complex numbers 2 Solve ODE initial value problem: $\dot{u}=(2t+u-3)^2-2 , u(1)=0$ Separation of variables fails 2 Help with an ODE 2 100 vertex graph has a specific pair of vertices. 1 Irreducible and connected components of $\mathbb{C}[x,y]/(xy)$

### Reputation (452)

 +2 Exponential estimation for a length of recurrent monotone sequence +2 $\mathbb{Z}$ is Noetherian but not Artinian +5 Linear dependence of determinants over $\operatorname{Mat}^{\mathbb{C}}_{ n}$ +5 Irreducible components of $x_1x_4 -x_2x_3 = x_1x_3 - x_2^2=0$

### Questions (20)

 3 Irreducible components of $x_1x_4 -x_2x_3 = x_1x_3 - x_2^2=0$ 3 Integral closure of $\mathbb{C}[x^5, y^5, x^4y]$ in its ring of fractions. 2 Equations for vanishing set of ideal in coordinate ring. 2 Common point of solutions of $(\varepsilon-x)y=y'(-x+y^2-2x^2)$ 2 Extreme graph has two adjacent triangles.

### Tags (47)

 5 ordinary-differential-equations × 7 2 complex-numbers 2 commutative-algebra × 11 2 partial-derivative 2 calculus × 6 2 cauchy-riemann-equations 2 graph-theory × 4 1 abstract-algebra × 7 2 combinatorics × 3 1 algebraic-geometry × 5

### Accounts (7)

 Mathematics 452 rep 22 silver badges1616 bronze badges Stack Overflow 101 rep 11 bronze badge TeX - LaTeX 101 rep 11 bronze badge MathOverflow 101 rep 33 bronze badges Computational Science 101 rep 33 bronze badges