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Find the primitive/particular solution to the following differential equations. 1. (1+ e') dy + (x² + 2x + e³ + y) dx = 0; y (2) = - 1

Find the primitive/particular solution to the following differential equations. 1. (1+ e') dy + (x² + 2x + e³ + y) dx = 0; y (2) = - 1

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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Find the primitive/particular solution to the following differential equations. 1. (1+ e) dy + (x² + 2x + e» + y) dx = 0; y (2) = – 1 2. (y +y cos x – ye*) dx + (3x + e sin x – 3e*) dy = 0; y (0) = – 1 1 3. 5x* + - e* ) dx +2 (x + In x – e*) dy = 0; y (1) = 0 4. (xe* + 4e* + 4e + 4 In y) dx + dy %3D 0;B у (0) %3D 0 y + 5. (у?— ху) dx + (2x? - ху) dy %3D 0; у(1) %3D1 |
Transcribed Image Text:Find the primitive/particular solution to the following differential equations. 1. (1+ e) dy + (x² + 2x + e» + y) dx = 0; y (2) = – 1 2. (y +y cos x – ye*) dx + (3x + e sin x – 3e*) dy = 0; y (0) = – 1 1 3. 5x* + - e* ) dx +2 (x + In x – e*) dy = 0; y (1) = 0 4. (xe* + 4e* + 4e + 4 In y) dx + dy %3D 0;B у (0) %3D 0 y + 5. (у?— ху) dx + (2x? - ху) dy %3D 0; у(1) %3D1 |
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