3-Regular Polyhedron: How many square faces can the polyhedron have?

5. The faces of a 3-regular polyhedron are all squares or hexagons. How many square faces can the polyhedron have? Does the number of square faces uniquely determine the polyhedron? (Please see attachment)

Solve the Differential Equation

(6xy-y^3)dx + (4y+3x^2-3xy^2)dy = 0

Solve the Differential Equation

(x^2 +1)y' + 3xy = 6x

Solve the Differential Equation

Solve: (cos x + lny)dx + ((x/y)+ e^y)dy = 0

Solve the Differential Equation

Solve: ((e^x)(sin(y))-2ysin(x))dx+((e^x)(cos(y))+2cos(x))dy= 0

Solve the Ordinary Differential Equation

Solve: (1+x)y' = x

Practice Questions for Standard Differential Equations (12 Questions)

Please see the attached files for the fully formatted problems. This question is concerned with finding the solution of the first order simultaneous equations where a = -2, b = 8, c = -24, d = 30 (i) Find the particular solutions to the differential equations which satisfy the initial conditions x = 16 and y = 3 at t ...continues

System of Equations : Software Techniques and an Example

1. Many free software mathematics packages on the Internet will solve a system of equations given the coefficients in the system. Problem: find out which of the four techniques (the Method of Addition, the Method of Substitution, Gauss-Jordan Elimination, and Cramer's Rule) is used in the majority of these types of software p ...continues

Solve the Differential Equation

Which of the following is a solution to the differential equation: ylny + xy' = 0 for x > 0 ? A. xlny = 1 B. xylny = 1 C. (lny)2 = 2 D. –y(lny)(lnx) = 1 E. lny + (x2/2)y = 1

Ode - Convert into System of Differential Equations

Convert {see attachment} into a system of differential equations and classify the resulting system