(B) No solution (C) Infinitely many solution (D) None of these 16. The partial differential equation of z=f(x+at) - g (x-at) is a'z a'z arª ax (A) (C) =a dªz 2² ar ax (B) (D) ** ** dz ar az a²z di² dx² + 17. The first order partial differential equation by eliminat- ing the arbitary function from TI1W
(B) No solution (C) Infinitely many solution (D) None of these 16. The partial differential equation of z=f(x+at) - g (x-at) is a'z a'z arª ax (A) (C) =a dªz 2² ar ax (B) (D) ** ** dz ar az a²z di² dx² + 17. The first order partial differential equation by eliminat- ing the arbitary function from TI1W
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
Related questions
Question
I want answers for 16 through 24 if you do not answer them! Then, I will thumbs down ok??? You got me!
![Inbox (13,580) - thomaskielbasins X
).pdf
(A)
Ô
NE
14. If the system of linear equations
2x + 3y + 4z=1
5x-y+z=4
mm
3
D--
(C) Infinitely many solution
(D) None of these
(C)
16. The partial differential equation of
z =f(x + at)- g (x-at) is
dºz
3x + ay-3z = 3
has a unique solution, then the value of a + 4
(A) must be equal to 0,
(B) should not be equal to 0
(C) can be any real number,
(D) can be any rational number
15. If a, b, c, d,, a, b,, c, and d, are any non zero real
numbers, then which of the following types of solution
is NOT possible for the system of linear equations.
ax+by+cz=d₁
+by+cz=d₂
(A) Unique solution
(B) No solution
ar
d²z d²z
dr du
=a
(A) p+q=0
(C) yp+rq=0
(B) O
e
1
1
(A) xyz,-+-+-=0
y
•
4
2
(C) --
+
17. The first order partial differential equation by eliminat-
ing the arbitary function from z=f(r²³ - ²¹) is
x
1
X y
02 CREATIVE WRITERS-contract fe X
18. The general solution of the partial differential equation
x(y-2) p+y(2-x)q = ='(x - y) is
1 1 1
+
2
Z x
2
1 1 1
B)
(D)
X
4
1
(B)
(D)
-+-+
2 / 20
0
0
1 + 1) =0.
Y
I
70
at dx
əz Əºz
+
di dx²
(B) yp+xq=0
(D) 2y'p + 3x³q=0
=0
0
-a
100%
+
(A) r²¹+ y²= (r² =y')
(B) x²+z=(x² – z²)
(C) x²-y²=– zª²)
(D) -2=(x−yª² − z³)
20. The solution of (p-q)(z-xp-y q) = 1 is
(B) z= axby
Untitled (4)
(A) z= ax by +
(C) z = ax + by
(A) X(x)=ce²
(C) X(x) = ce(i)
21. Ifu(x, y) = X(x). Y(y) be the solution of the partial differ-
du du
ential equation 4 +5. = 0, which is obtained by
əx dy
(C) -3
(D)
solving it by the method of separation of variables, then
X(x) (the function of x only in u(x, y)) is
[Note: Here e and k are arbitrary constants]
a²u d'u
(B) 3- -4. +5
dr² əxəy dy²
(A)
1
a+b
22. Which of the following second order partial differential
equations is an elliptic equation?
d'u d'u d'u du du
(A) 3- +4
5 +7
dr² dxdy
dx dy
d'u d'u
+4-
Əxəy
d'u
f(x) = +
+2
0 ≤x≤lis
(A) 1
(C) 0
+5
(D) z= ax + by +
d'u du
(B) X(x) = ce
(D) X(x) = ce
dx
au
du
+
Әхду ду dx
(B)
(D)
(B)
+
4x-
du
ax
du
ди
+5.
24. The Fourier series of f(x)= e in the
(0, 2n) is
+
= 6x²y
du
23. The Fourier cosine series of the function f(x) =
11/10
A
= 6.xy²
a-b
19
42
0
interval
Σα a, cos nx+b, sin nex, then the value of
+Σ
N](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfe4191b-d77f-491e-bfbe-133f2efb412f%2Ff463350e-1220-4d96-9fd4-ba86bd1fa903%2F4iuvz8p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Inbox (13,580) - thomaskielbasins X
).pdf
(A)
Ô
NE
14. If the system of linear equations
2x + 3y + 4z=1
5x-y+z=4
mm
3
D--
(C) Infinitely many solution
(D) None of these
(C)
16. The partial differential equation of
z =f(x + at)- g (x-at) is
dºz
3x + ay-3z = 3
has a unique solution, then the value of a + 4
(A) must be equal to 0,
(B) should not be equal to 0
(C) can be any real number,
(D) can be any rational number
15. If a, b, c, d,, a, b,, c, and d, are any non zero real
numbers, then which of the following types of solution
is NOT possible for the system of linear equations.
ax+by+cz=d₁
+by+cz=d₂
(A) Unique solution
(B) No solution
ar
d²z d²z
dr du
=a
(A) p+q=0
(C) yp+rq=0
(B) O
e
1
1
(A) xyz,-+-+-=0
y
•
4
2
(C) --
+
17. The first order partial differential equation by eliminat-
ing the arbitary function from z=f(r²³ - ²¹) is
x
1
X y
02 CREATIVE WRITERS-contract fe X
18. The general solution of the partial differential equation
x(y-2) p+y(2-x)q = ='(x - y) is
1 1 1
+
2
Z x
2
1 1 1
B)
(D)
X
4
1
(B)
(D)
-+-+
2 / 20
0
0
1 + 1) =0.
Y
I
70
at dx
əz Əºz
+
di dx²
(B) yp+xq=0
(D) 2y'p + 3x³q=0
=0
0
-a
100%
+
(A) r²¹+ y²= (r² =y')
(B) x²+z=(x² – z²)
(C) x²-y²=– zª²)
(D) -2=(x−yª² − z³)
20. The solution of (p-q)(z-xp-y q) = 1 is
(B) z= axby
Untitled (4)
(A) z= ax by +
(C) z = ax + by
(A) X(x)=ce²
(C) X(x) = ce(i)
21. Ifu(x, y) = X(x). Y(y) be the solution of the partial differ-
du du
ential equation 4 +5. = 0, which is obtained by
əx dy
(C) -3
(D)
solving it by the method of separation of variables, then
X(x) (the function of x only in u(x, y)) is
[Note: Here e and k are arbitrary constants]
a²u d'u
(B) 3- -4. +5
dr² əxəy dy²
(A)
1
a+b
22. Which of the following second order partial differential
equations is an elliptic equation?
d'u d'u d'u du du
(A) 3- +4
5 +7
dr² dxdy
dx dy
d'u d'u
+4-
Əxəy
d'u
f(x) = +
+2
0 ≤x≤lis
(A) 1
(C) 0
+5
(D) z= ax + by +
d'u du
(B) X(x) = ce
(D) X(x) = ce
dx
au
du
+
Әхду ду dx
(B)
(D)
(B)
+
4x-
du
ax
du
ди
+5.
24. The Fourier series of f(x)= e in the
(0, 2n) is
+
= 6x²y
du
23. The Fourier cosine series of the function f(x) =
11/10
A
= 6.xy²
a-b
19
42
0
interval
Σα a, cos nx+b, sin nex, then the value of
+Σ
N
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