c) Find the particular solution y = f(x) to the differential equation = (1-2)(- condition f(2)=4 dx -3) with initial

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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dx
c) Find the particular solution y = f(x) to the differential equation = (1-2)(y - 3) with initial
condition f(2)=4
2x
Transcribed Image Text:dx c) Find the particular solution y = f(x) to the differential equation = (1-2)(y - 3) with initial condition f(2)=4 2x
6. Consider the differential equation = (1-2)(y - 3), where x ‡ 0. Let y = f(x) be the
dy
dx
particular solution to the differential equation with initial condition f(2)= 4.
(a) Find the slope of the line tangent to the graph of fat the point (2,4).
(b) On the axis provided, sketch a slope field for the given differential equation at the nine points
indicated
#B
1+
+
Transcribed Image Text:6. Consider the differential equation = (1-2)(y - 3), where x ‡ 0. Let y = f(x) be the dy dx particular solution to the differential equation with initial condition f(2)= 4. (a) Find the slope of the line tangent to the graph of fat the point (2,4). (b) On the axis provided, sketch a slope field for the given differential equation at the nine points indicated #B 1+ +
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