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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
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
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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