Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Euler Equations. 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 I = hn (t) transforms an Euler equation into an equation with constant coefficients. Solve ty" + 6ty + 4y = 0 for t >0 using the variable substitution.
Use C1, C2, C3, ... for the constants of integration.
Formel-Editor
Common
Matrix
sin(a)
cos(a)
tan(a)
af
d
sec(a)
csc(a)
cot(a)
dz
va
a
tan ' (a)
00
sin '(a)
cos ' (a)
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Transcribed Image Text:Euler Equations. 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 I = hn (t) transforms an Euler equation into an equation with constant coefficients. Solve ty" + 6ty + 4y = 0 for t >0 using the variable substitution. Use C1, C2, C3, ... for the constants of integration. Formel-Editor Common Matrix sin(a) cos(a) tan(a) af d sec(a) csc(a) cot(a) dz va a tan ' (a) 00 sin '(a) cos ' (a)
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