For this linear equation, give the number by which you would multiply the terms in each equation in order to eliminate one of th
2 answers:
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Solution :
Given :
2y''' + 15y'' + 24y' + 11y= 0
Let x = independent variable
is a differential equation.
If
It is non homogeneous then,
The general solution = complementary solution + particular integral
If Q(x) = 0
It is called the homogeneous then the general solution = complementary solution.
2y''' + 15y'' + 24y' + 11y= 0
Auxiliary equation,
-1 | 2 15 24 11
<u> | 0 -2 - 13 -11 </u>
2 13 11 0
∴
The roots are
So,
Then the general solution is :