Find a general solution for the differential equation with x as the independent variable:
$u''' - 9 u'' + 27 u' - 27 u = 0$

Question

Find a general solution for the differential equation with x as the independent variable:
$u''' - 9 u'' + 27 u' - 27 u = 0$

Accepted Answer

The general solution for the differential equation with x as the independent variable is $u (x) = c_{1} e^{3 x} + c_{2} x e^{3 x} + c_{3} x^{2} e^{3 x}$

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Fundamentals Of Differential Equations And Boundary Value Problems

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Short Answer

Find a general solution for the differential equation with x as the independent variable:
$u''' - 9 u'' + 27 u' - 27 u = 0$

Step by Step Solution

Step 1: Auxiliary equation:

Step 2: General solution:

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Fundamentals Of Differential Equations And Boundary Value Problems

Answers without the blur.

Short Answer

Find a general solution for the differential equation with x as the independent variable:u'''−9u''+27u'−27u=0

Step by Step Solution

Step 1: Auxiliary equation:

Step 2: General solution:

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Find a general solution for the differential equation with x as the independent variable:
$u''' - 9 u'' + 27 u' - 27 u = 0$