The general solution to the differential equation y"+10y'+(e²x-7)y=0 1 y=f(x)(C₁ Ja (g(x)) + C₂ Ya (g(x))). Write this form of the general solution using the correct value for the constant a and the correct functions of x represented by f(x) and g(x). has the form y= a = f(x) = and g(x) = Hints: Try using a new independent variable z=ex and a new dependent variable w=e¹0x/2 y.
The general solution to the differential equation y"+10y'+(e²x-7)y=0 1 y=f(x)(C₁ Ja (g(x)) + C₂ Ya (g(x))). Write this form of the general solution using the correct value for the constant a and the correct functions of x represented by f(x) and g(x). has the form y= a = f(x) = and g(x) = Hints: Try using a new independent variable z=ex and a new dependent variable w=e¹0x/2 y.
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 general solution to the differential equation
y"+10y'+(e²x-7)y=0
has the form y=f(x) (C₁ Ja (g(x)) + C₂ Ya (g(x))).
Write this form of the general solution using the correct value for the constant a and the correct functions of x represented by f(x) and g(x).
a =
f(x) =
and
g(x) =
Hints: Try using a new independent variable z=ex and a new dependent variable w=e¹0x/2 y.
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