An equation of the form ty" + aty + By = 0, t > 0, where a and B are real constants, is called an Euler equation. The substitution x = In(t) transforms an Euler equation into an equation with constant coefficients. Solve t’y" + 4ty' + 2y = 0 for t > 0 using the variable substitution. NOTE: Use cz and cg for the constants of integration. y(t) =
An equation of the form ty" + aty + By = 0, t > 0, where a and B are real constants, is called an Euler equation. The substitution x = In(t) transforms an Euler equation into an equation with constant coefficients. Solve t’y" + 4ty' + 2y = 0 for t > 0 using the variable substitution. NOTE: Use cz and cg for the constants of integration. y(t) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text:An equation of the form ty" + aty + By = 0, t > 0, where a and B
are real constants, is called an Euler equation. The substitution
x = In(t) transforms an Euler equation into an equation with
constant coefficients.
Solve t’y" + 4ty' + 2y
= 0 for t > 0 using the variable substitution.
NOTE: Use cz and cg for the constants of integration.
y(t :
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