The following differential equation is separable as it is of the form = g(x) h(y). dy dx dy - (y - 8)² dx = 0 Find the following antiderivatives. /₁ dy 11 h(y) [g(x) dx = y = Solve the given differential equation by separation of variables. 1 8x 8c x + c x + c x + c + +

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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dy
The following differential equation is separable as it is of the form = g(x) h(y).
dx
dy - (y - 8)² dx = 0
Find the following antiderivatives.
T
dy
h(y)
g(x) dx
=
y =
=
Solve the given differential equation by separation of variables.
1
8x
8c
x + c
x + c
x + c
+
+
Transcribed Image Text:dy The following differential equation is separable as it is of the form = g(x) h(y). dx dy - (y - 8)² dx = 0 Find the following antiderivatives. T dy h(y) g(x) dx = y = = Solve the given differential equation by separation of variables. 1 8x 8c x + c x + c x + c + +
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