10. u dv + (v + uv – ue") du = 0; in v; in u In Problems 11–14 verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution. -x/2 11. 2y' + y = 0; v= e' dy 12. + 20y dt 6. = 24; y = 201 5 13. у" - бу + 13у %3D 0; у %3D ез* сos 2х 14. y" + y = tan x; y = -(cos x) In(sec x + tan x) %3D 6

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10. u dv + (v + uv – ue") du = 0; in v; in u
In Problems 11–14 verify that the indicated function is an explicit
solution of the given differential equation. Assume an appropriate
interval I of definition for each solution.
-x/2
11. 2y' + y = 0; v= e'
Expand
Transcribed Image Text

10. u dv + (v + uv – ue") du = 0; in v; in u In Problems 11–14 verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution. -x/2 11. 2y' + y = 0; v= e'

dy
12. + 20y
dt
6.
= 24; y =
201
5
13. у" - бу + 13у %3D 0;
у %3D ез* сos 2х
14. y" + y = tan x;
y = -(cos x) In(sec x + tan x)
%3D
6
Expand
Transcribed Image Text

dy 12. + 20y dt 6. = 24; y = 201 5 13. у" - бу + 13у %3D 0; у %3D ез* сos 2х 14. y" + y = tan x; y = -(cos x) In(sec x + tan x) %3D 6

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