13. Verify that yı(t) = t and y2(t) = t¯3 are solutions to the homogeneous equation %3D 1²y"(t) + 3ty'(t) – 3y(t) = 0. Use variation of parameters to find the general solution to ²y"(t) + 3ty'(t) – 3y(t) t |

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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13. Verify that yı(t) = t and y2(t) = t-3 are solutions to the
homogeneous equation
t²y"(t) + 3ty'(t) - 3y(t) = 0.
Use variation of parameters to find the general solution to
'y"(t) + 3ty'(t) – 3y(t) =
t
:-
Transcribed Image Text:13. Verify that yı(t) = t and y2(t) = t-3 are solutions to the homogeneous equation t²y"(t) + 3ty'(t) - 3y(t) = 0. Use variation of parameters to find the general solution to 'y"(t) + 3ty'(t) – 3y(t) = t :-
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