Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 8+16x = x > 0 dx xy² with the initial condition y(1) = 3. y =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Find the function y = y(x) (for x > 0) which satisfies the separable differential equation
dy
8 + 16x
x > 0
dx
xy²
with the initial condition y(1) = 3.
y =
011
6
esc
1
9
@
2
W
#3
e
C
$
4
%
5
t
Y
&
7
8
0
9
0
Transcribed Image Text:Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 8 + 16x x > 0 dx xy² with the initial condition y(1) = 3. y = 011 6 esc 1 9 @ 2 W #3 e C $ 4 % 5 t Y & 7 8 0 9 0
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