5. Find a differential operator of lowest order that annihilates the given function. You may certainly leave your operators in factored form. a. 7x³e³x +5x² +12 b. 4xe ³x +1 + +8 sin(4x) c. 5xe 2x +3e¹* d. 6x²e* sin(7x)

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Chapter2: Second-order Linear Odes
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5. Find a differential operator of lowest order that annihilates the given function. You may certainly leave
your operators in factored form.
a. 7x³e³x +5x² +12
-3x
b. 4xe ³x +e³x+1
+8 sin(4x)
c. 5xe-2x +3e¹*
d. 6x²e* sin(7x)
Transcribed Image Text:5. Find a differential operator of lowest order that annihilates the given function. You may certainly leave your operators in factored form. a. 7x³e³x +5x² +12 -3x b. 4xe ³x +e³x+1 +8 sin(4x) c. 5xe-2x +3e¹* d. 6x²e* sin(7x)
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