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Solve the differential equation (x – 2y – 6) dx+(2x + y+8) dy= 0 Y14 In(2² + y² + 4x + 8y + 20) + 4 arctan() = I+2 Y14 In (x? + y? + 4x + 8y+ 20) + 2 arctan C I+2 O In (a? + y? + 4x + 8y + 20) + 2 arctan = C In (x2 + y? – 4 – 8y + 20) + 4 arctan() = C I+2 In (a? + y? + 4x + 8y + 20) + 4 arctan(2) = C Y14 () = c Y14 In (x? + y? + 4x + 8y+ 20) – 2 arctan I+2

Solve the differential equation (x – 2y – 6) dx+(2x + y+8) dy= 0 Y14 In(2² + y² + 4x + 8y + 20) + 4 arctan() = I+2 Y14 In (x? + y? + 4x + 8y+ 20) + 2 arctan C I+2 O In (a? + y? + 4x + 8y + 20) + 2 arctan = C In (x2 + y? – 4 – 8y + 20) + 4 arctan() = C I+2 In (a? + y? + 4x + 8y + 20) + 4 arctan(2) = C Y14 () = c Y14 In (x? + y? + 4x + 8y+ 20) – 2 arctan I+2

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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homo linear differential equation

Solve the differential equation (x – 2y – 6) dx+(2x + y+8) dy= 0 In(2² + y² + 4x + 8y + 20) + 4 arctan() = Y14 I+2 In (x? + y? + 4x + 8y+ 20) + 2 arctan Y14 C I+2 O In (a? + y? + 4x + 8y + 20) + 2 arctan = C In (x2 + y? – 4 – 8y + 20) + 4 arctan() = C In (a? + y? + 4x + 8y + 20) + 4 arctan(12) = C I+2 Y14 In (z? + y? + 4x + 8y + 20) – 2 arctan Y14 = C I+2 In (x² + y? + 4x + 8y+ 20) – 4 arctan I+2 = C O In (a? + y? + 4x + 8y + 20) – 2 arctan I+2 = C Y14
Transcribed Image Text:Solve the differential equation (x – 2y – 6) dx+(2x + y+8) dy= 0 In(2² + y² + 4x + 8y + 20) + 4 arctan() = Y14 I+2 In (x? + y? + 4x + 8y+ 20) + 2 arctan Y14 C I+2 O In (a? + y? + 4x + 8y + 20) + 2 arctan = C In (x2 + y? – 4 – 8y + 20) + 4 arctan() = C In (a? + y? + 4x + 8y + 20) + 4 arctan(12) = C I+2 Y14 In (z? + y? + 4x + 8y + 20) – 2 arctan Y14 = C I+2 In (x² + y? + 4x + 8y+ 20) – 4 arctan I+2 = C O In (a? + y? + 4x + 8y + 20) – 2 arctan I+2 = C Y14
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