Q1. Solve the following differential equations by separating the variables: (a) dx -x²dy = 0 (b) = 2x (c) xy' = 4y
Q1. Solve the following differential equations by separating the variables: (a) dx -x²dy = 0 (b) = 2x (c) xy' = 4y
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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![Q1. Solve the following differential equations by separating the variables:
(a) dx-x²dy= 0
(b) e = 2x
(c) xy' = 4y
(d) + 2xy = 0
dy
(e) x²y*dy = (y + 1)dx
(f) sin 3xdx + 2ycos'3xdy = 0
(g) (1 + y*\dx+ (1 +x³pdy = 0
(h) đr = 3(cosOdr + rsin@d®)
(i) (e²" + 4)y' = y
6) y lnxlnydx+ dy = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bfc6c2f-2c2f-4ab3-89c6-feafa861df54%2F7773266c-e3b7-49d6-a750-df9355245730%2Fwbfqs9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q1. Solve the following differential equations by separating the variables:
(a) dx-x²dy= 0
(b) e = 2x
(c) xy' = 4y
(d) + 2xy = 0
dy
(e) x²y*dy = (y + 1)dx
(f) sin 3xdx + 2ycos'3xdy = 0
(g) (1 + y*\dx+ (1 +x³pdy = 0
(h) đr = 3(cosOdr + rsin@d®)
(i) (e²" + 4)y' = y
6) y lnxlnydx+ dy = 0
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