1. Which of the following are PDES? Identify all. df = 3x dr df = 3y dr se = 3r af = 3y af = 3r dy

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. Which of the following are PDES? Identify all.
se
= 3y
af
= 3r
dy
df
df
3y
af
= 3r
3x
dr
dr
2. Solve the following DEs and PDES:
(a) O = 3r + 1
af(z.y) = 3r +1
(Ь)
(c)
af(z.y)
= Ar + B
(d)
= 3r + cos(y)
3. Solve the following DEs and PDES:
(a) 2 = 3 sin(x)
%3D
(b)
af(1.y)
= 3 sin(x)
af(z_y) = Asin(r) + B
(c)
(d) E) = 3 sin(x) + cos(y)
Problems based on Set 2
1. Find the most general f(x, y) obeying = - sin(x)y.
2. Find the most general solution of,
du
du
=y -x
- 2x – y,
dy
by first integrating one equation and then using the other.
3. Evaluate g(r, y) where,
dg
=2 - į sin(z)y²,
dg
=3 sin(y) + cos(r)y.
dy
(1)
4. Find all m so that the function y(r, t) = A sin(r)emt is a solution of,
Transcribed Image Text:1. Which of the following are PDES? Identify all. se = 3y af = 3r dy df df 3y af = 3r 3x dr dr 2. Solve the following DEs and PDES: (a) O = 3r + 1 af(z.y) = 3r +1 (Ь) (c) af(z.y) = Ar + B (d) = 3r + cos(y) 3. Solve the following DEs and PDES: (a) 2 = 3 sin(x) %3D (b) af(1.y) = 3 sin(x) af(z_y) = Asin(r) + B (c) (d) E) = 3 sin(x) + cos(y) Problems based on Set 2 1. Find the most general f(x, y) obeying = - sin(x)y. 2. Find the most general solution of, du du =y -x - 2x – y, dy by first integrating one equation and then using the other. 3. Evaluate g(r, y) where, dg =2 - į sin(z)y², dg =3 sin(y) + cos(r)y. dy (1) 4. Find all m so that the function y(r, t) = A sin(r)emt is a solution of,
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