{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

ps3[1] - x and y including an arbitrary constant Chapter 2...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Applied Mathematics E2101y Introduction to Applied Mathematics Problem Set #3, due Tuesday, 24 February 2009 Chapter 2: Supplementary Problem Observe that the ODE dy dx = 1 y - x is nonlinear in y ( x ), not separable, not homogeneous, and not of a recognizably easy form to solve for y ( x ). However, the equation dx dy = y - x , which is obtained by taking the reciprocal of the original, is a linear ODE for x ( y ), with the functional relation inverted. Solve for an implicitly defined algebraic relationship between the variables
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: x and y , including an arbitrary constant. Chapter 2: Valentine’s Day Problem Filling in steps in lecture, solve the ODE (2 x-ax √ x 2 + y 2 ) + (2 y + a-ay √ x 2 + y 2 ) dy dx = 0 and graph the set of points ( x, y ) that satisfy it using Mathematica, where a = 2, 4, and 8. Chapter 2, § 2.4: “Exact” ODEs 5 8 17 24 27 32...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online