Q19E - Fundamentals Of Differential Equations And Boundary Value Problems

Question

. find a differential operator that annihilates the given function.

$x{e}^{-2x}+x{e}^{-5x}sin3x$

Step-by-Step Solution

Answer

$(D+2{)}^2{\left(D^2+10D+34\right)}^2$is the differential operator that annihilates the given function.

Step 1: Expression

. find a differential operator that annihilates the given function.xe-2x+xe-5xsin3x

Step 2: Apply Rules

Apply appropriate mathematical rules step by step.

Step 3: Result

( D + 2 ) 2 D 2 + 10 D + 34 2 is the differential operator that annihilates the given function.