The Differential Operator for the Left and Right Sides of a Differential Equatio Left Side = (D + 3) (D 4) Right Side = (D + 3) Find the General Solution for the differential equation. A) y(x) = Ae -3x + Be * + Ce-3x B y (x) = Ax?e- -3x -3x + Bxe + Ce -3 + De 4x y (x) = Axe -3x + Be -3x + Ce 4x y (x) = Ax?e3x + Bxe3x + Ce3* -4x + De E y(x) = Acos(/3x) + Bsin(3 x) + Ce* y(x) = Acos(3 x) + Bsin(3 x) + Ce-A* G y (x) = Ae3x -4x + Be + Ce3x y(x) = Axe 3x + Be 3x + Ce -4x

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Q8

The Differential Operator for the Left and Right Sides of a Differential Equation are
Left Side = (D + 3)(D - 4)
Right Side = (D + 3)
Find the General Solution for the differential equation.
(A) y(x) = Ae -3x
+ Be + Ce-3x
B
y (x) = Ax?e-
-3x
-3x
+ Bxe
+ Ce -3x
+ De 4x
y (x) = Axe
-3x
+ Be
-3x
+ Ce 4*
y (x) = Ax?e3x + Bxe 3x
+ Ce3*
+ De -4r
E y(x) = Acos(/3x) + Bsin(3 x)
.
+ Cer
P y (x) = Acos(3 x) + Bsin(3 x) + Ce-4x
G
y (x) = Ae3x
-4x
+ Ce3x
+ Be
H
y(x) = Axe x
+ Be
3x
+ Ce -4x
Transcribed Image Text:The Differential Operator for the Left and Right Sides of a Differential Equation are Left Side = (D + 3)(D - 4) Right Side = (D + 3) Find the General Solution for the differential equation. (A) y(x) = Ae -3x + Be + Ce-3x B y (x) = Ax?e- -3x -3x + Bxe + Ce -3x + De 4x y (x) = Axe -3x + Be -3x + Ce 4* y (x) = Ax?e3x + Bxe 3x + Ce3* + De -4r E y(x) = Acos(/3x) + Bsin(3 x) . + Cer P y (x) = Acos(3 x) + Bsin(3 x) + Ce-4x G y (x) = Ae3x -4x + Ce3x + Be H y(x) = Axe x + Be 3x + Ce -4x
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