(C) yp+xq=0 (D) 2y³p+ 3x³q=0 18. The general solution of the partial differential equation (y-2)p+y³(2-x)q=z'(x-y) is (A) xyz, of xyz. (B) 1 +++ = 0 ya (4-0 (C) $ (D) $ 1 yzx 1 11 0 +-+-0 24. T
(C) yp+xq=0 (D) 2y³p+ 3x³q=0 18. The general solution of the partial differential equation (y-2)p+y³(2-x)q=z'(x-y) is (A) xyz, of xyz. (B) 1 +++ = 0 ya (4-0 (C) $ (D) $ 1 yzx 1 11 0 +-+-0 24. T
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
I need questions 18 through 24 answered!
![Inbox (13,580) - thomaskielbasins X
).pdf
(A)
Ô
NE
(A) Unique solution
(B) No solution
mm
3
D--
(C) Infinitely many solution
(D) None of these
(C)
14. If the system of linear equations
2x + 3y+4z=1
5x-y+z=4
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
16. The partial differential equation of
z=f(x+at)-g (x-at) is
dºz
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
ar
d²z d²z
dr du
=a
(A) p+q=0
(C) yp+rq=0
(B) O
e
1
1
•
(A) xyz,-+-+-=0
x y
4
2
(C) --
+
17. The first order partial differential equation by eliminat-
ing the arbitary function from z=f(r²³-³¹) is
1
X y
1 1 1
+
2
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
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
+
di² ax²
(B) yp + xq=0
(D) 2y p+ 3x³q=0
=0
0
-a
100%
+
(A) r²¹+ y² = (x² −y)
(B) x²+z=(r² − z²)
(C) x²-y= (– z²³)
(D) -2=(x−y² − z³)
20. The solution of (p-q) (z-xp-y q) = 1 is
(B) z= ax-by
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: Herec 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%2F48f060b3-4f58-4893-8c33-0d02ea130a73%2F0c8t98o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Inbox (13,580) - thomaskielbasins X
).pdf
(A)
Ô
NE
(A) Unique solution
(B) No solution
mm
3
D--
(C) Infinitely many solution
(D) None of these
(C)
14. If the system of linear equations
2x + 3y+4z=1
5x-y+z=4
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
16. The partial differential equation of
z=f(x+at)-g (x-at) is
dºz
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
ar
d²z d²z
dr du
=a
(A) p+q=0
(C) yp+rq=0
(B) O
e
1
1
•
(A) xyz,-+-+-=0
x y
4
2
(C) --
+
17. The first order partial differential equation by eliminat-
ing the arbitary function from z=f(r²³-³¹) is
1
X y
1 1 1
+
2
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
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
+
di² ax²
(B) yp + xq=0
(D) 2y p+ 3x³q=0
=0
0
-a
100%
+
(A) r²¹+ y² = (x² −y)
(B) x²+z=(r² − z²)
(C) x²-y= (– z²³)
(D) -2=(x−y² − z³)
20. The solution of (p-q) (z-xp-y q) = 1 is
(B) z= ax-by
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: Herec 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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