9x The function y(x) = e⁹" is a solution to the differential equation Use the method of reduction of order to find a second solution and the general solution. Then find the particular solution corresponding to the initial conditions y(0) = 2, y' (0) = 4. Particular solution is y(x) (x − 3 ) y" − 9xy' + 9y = 0. - - 9 =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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The function y(x) =
= e9 is a solution to the differential equation
1) y" - 9xy' + 9y = 0.
Use the method of reduction of order to find a second solution and the general solution. Then
find the particular solution corresponding to the initial conditions y(0) = 2, y' (0) = = 4.
Particular solution is y(x)
X
=
Transcribed Image Text:The function y(x) = = e9 is a solution to the differential equation 1) y" - 9xy' + 9y = 0. Use the method of reduction of order to find a second solution and the general solution. Then find the particular solution corresponding to the initial conditions y(0) = 2, y' (0) = = 4. Particular solution is y(x) X =
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