Differential equation

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Awing
Differential equation

y=c1e^5x+c2x+c3

Jhun Vert
Jhun Vert's picture

Do you mean eliminate c1, c2, and c3 from this equation: y = c1e5x + c2x + c3? If so, this is my solution to it:
$y = c_1 e^{5x} + c_2 x + c_3$

$y' = 5c_1 e^{5x} + c_2$

$y'' = 25c_1 e^{5x}$

$y''' = 125c_1 e^{5x}$
 

$y''' - 5y'' = 0$   ←   this is my answer.
 

Do you have answer key to this problem? If you do, update us.

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