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Consider the differential equation: xy" – y' 18y (1) Making the changes of variable x= e', y= u(t)e-2t in the differential equation (1), the differential equation u is obtained, depending on t, given by: u" - 6u' - 10u = 0. The solution of the differential equation (1), depending on the parameter t, with constant cl and c2, is given by: et S2(t) %3D O a) y(t) et 19 %3D S¤(t) et %3D Ob) y(t) e* (c1 cos(t/19) + c2 sen(tv/19)) S2(t) c) y(t) et '+cze tv19) C2e et d) Į #(t) y(t) e' (c, cos(tv/19) + C2 sen(tv/19))

Consider the differential equation: xy" – y' 18y (1) Making the changes of variable x= e', y= u(t)e-2t in the differential equation (1), the differential equation u is obtained, depending on t, given by: u" - 6u' - 10u = 0. The solution of the differential equation (1), depending on the parameter t, with constant cl and c2, is given by: et S2(t) %3D O a) y(t) et 19 %3D S¤(t) et %3D Ob) y(t) e* (c1 cos(t/19) + c2 sen(tv/19)) S2(t) c) y(t) et '+cze tv19) C2e et d) Į #(t) y(t) e' (c, cos(tv/19) + C2 sen(tv/19))

Advanced Engineering Mathematics
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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Consider the differential equation: xy" – y' 18y (1) Making the changes of variable x= e', y= u(t)e-2t in the differential equation (1), the differential equation u is obtained, depending on t, given by: u" - 6u' - 10u = 0. The solution of the differential equation (1), depending on the parameter t, with constant cl and c2, is given by: ¤(t) a) y(t) et %3D et %3D Ob) Į #(t) et l y(t) est e (c, cos(tv19) +c2 sen(tv/19)) %3D S2(t) et c) y(t) + cze tv19 C2e O d) S ¤(t) et y(t) e (c, cos(tv/19) + c2 sen(t/19))
Transcribed Image Text:Consider the differential equation: xy" – y' 18y (1) Making the changes of variable x= e', y= u(t)e-2t in the differential equation (1), the differential equation u is obtained, depending on t, given by: u" - 6u' - 10u = 0. The solution of the differential equation (1), depending on the parameter t, with constant cl and c2, is given by: ¤(t) a) y(t) et %3D et %3D Ob) Į #(t) et l y(t) est e (c, cos(tv19) +c2 sen(tv/19)) %3D S2(t) et c) y(t) + cze tv19 C2e O d) S ¤(t) et y(t) e (c, cos(tv/19) + c2 sen(t/19))
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