The differential equation can be written in differential form: y + 4y7 (y + 6x)y' M(x,y) dx +N(x, y) dy = 0 where M(x,y) = y+4 (7)✓, and N(x, y) = -((5) + 6*x) ✓(To receive credit both answers must be correct.) The term M(x, y) dx + N(x,y) dy becomes an exact differential if the left hand side above divided by y7. Integrating that new equation we obtain a solution of the differential equation: O C.
The differential equation can be written in differential form: y + 4y7 (y + 6x)y' M(x,y) dx +N(x, y) dy = 0 where M(x,y) = y+4 (7)✓, and N(x, y) = -((5) + 6*x) ✓(To receive credit both answers must be correct.) The term M(x, y) dx + N(x,y) dy becomes an exact differential if the left hand side above divided by y7. Integrating that new equation we obtain a solution of the differential equation: O C.
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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Transcribed Image Text:The differential equation
can be written in differential form:
where
M (x, y) =y+4·(y) ✔, and
N(x,y)
y + 4y7 = (y³ + 6x)y'
=
M(x, y) dx +N(x,y) dy = 0
- ((15) + 6*x) ✔ . (To receive credit both answers must be correct.)
The term M (x, y) dx + N(x, y) dy becomes an exact differential if the left hand side above is divided by y7. Integrating that new equation we obtain a solution of the differential equation:
= C.
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