5. y(y² + 1) dx + x(y² – 1) dy = 0 6.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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can you please solve number 5, thanks
![1. Solve the following differential equations using any of the methods discussed up to Lecture 8:
1. (x+a)y' = bx – ny;
a, b, and n are constants with n + 0,n ± 1
2. (1+t²) ds + 2t[st² – 3(1+t²)²]dt = 0;
when t = 0,s = 0
%3D
4. x*yl = –x³y – csc(xy)
6. xy(dx – dy) = x²dy+y² dx
3. y' = 1+ 3y tan x
%3D
5. y(y² + 1) dx +x(y² – 1) dy = 0
7.x(x² – y² – x) dx – y(x² – y²) dy = 0
when x=0, y=0
8. y dx = (3x + y³ – y²) dy;
when x=1, y=-1
%3D
%3D
9. (y – cos² x) dx + cos x dy = 0
10. [1+y tan(xy)] dx + x tan(xy) dy = 0
%3D
11. (x³ + xy² – y) dx + (y3 + x²y + x) dy = 0
12. (sin x sin y+tan x) dx
cos x cos y dy = 0
|](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b9bcf50-2cbb-469d-a131-882d10d22273%2F4a683c8c-888f-4335-8621-235b47d308aa%2Fdt9344_processed.png&w=3840&q=75)
Transcribed Image Text:1. Solve the following differential equations using any of the methods discussed up to Lecture 8:
1. (x+a)y' = bx – ny;
a, b, and n are constants with n + 0,n ± 1
2. (1+t²) ds + 2t[st² – 3(1+t²)²]dt = 0;
when t = 0,s = 0
%3D
4. x*yl = –x³y – csc(xy)
6. xy(dx – dy) = x²dy+y² dx
3. y' = 1+ 3y tan x
%3D
5. y(y² + 1) dx +x(y² – 1) dy = 0
7.x(x² – y² – x) dx – y(x² – y²) dy = 0
when x=0, y=0
8. y dx = (3x + y³ – y²) dy;
when x=1, y=-1
%3D
%3D
9. (y – cos² x) dx + cos x dy = 0
10. [1+y tan(xy)] dx + x tan(xy) dy = 0
%3D
11. (x³ + xy² – y) dx + (y3 + x²y + x) dy = 0
12. (sin x sin y+tan x) dx
cos x cos y dy = 0
|
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