The differential equation can be written in differential form: where M(x, y): = y+2y7 = (y² + 6x) y' M(x, y) dx + N(x, y) dy = 0 ‚ and N(x, y) = 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, the solution of the differential equation is = C.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The differential equation
can be written in differential form:
where
M(x, y)
=
y + 2y¹ = (y² + 6x) y'
M(x,y) dx + N(x, y) dy = 0
and N(x, y)
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, the solution of the differential equation is
=
=
C.
Transcribed Image Text:The differential equation can be written in differential form: where M(x, y) = y + 2y¹ = (y² + 6x) y' M(x,y) dx + N(x, y) dy = 0 and N(x, y) 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, the solution of the differential equation is = = C.
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