 # RSTU mother. Reference: equations of mathematical physics

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Russian State Technological University named after Tsiolkovsky.
(Formerly the Moscow Aviation Technology Institute - MATI)
Problem Solving control work on equations of mathematical physics.
E-book (DjVu-file) contains 3 solutions control work tasks for the students mother. Solving problems presented in the form of a scanned handwriting collected into a single document of 9 page format A4. This document is stored in a format DjVu, which is open in Internet Explorer after installing utility program (plug-in). Link to download and install DjVu-plugin can be found on the company's homepage LIZARDTECH. DjVu-file that contains the conditions of tasks and their detailed solution completely and ready for viewing on your computer and print. All tasks were successfully offset MATI teachers.

Terms problems.

1. Determine the type of equation and bring it to a canonical form
U "xx-2U" xy + 2U "xz + U" yy + U "zz-U'x = 0.

2.Reshit wave equation for the function U (x, t)
U "xx = 16U" tt in the region x> 0 for t> 0 with the initial conditions:
U (x, t = 0) = 1, U't (x, t = 0) = x and a boundary condition: U'x (x = 0, t) = t.

3.To resolve boundary value problem for the Sturm-Liouville equation U "xx = 16U" tt
in the range 0 \u003cx\u003c3/4 при t \u003e 0
with boundary conditions: U (x = 0, t) = 0, U (x = 3/4, t) = 0
and initial conditions: U (x, t = 0) = 17sin (4px), U't (x, t = 0) = 0. 