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Asked Sep 30, 2019
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Differential Equation
Show a comple te solution
11
2X
2-y-ay
e t2
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Differential Equation Show a comple te solution 11 2X 2-y-ay e t2

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Expert Answer

Step 1

Firstly, we find complementary function by solving auxillary equation

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y"-4y e 2 (D2-4)y e2 = m2-4 0 m 2,-2 C.F cece 2: -2x

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Step 2

Now, we find P.I by using the result that 

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1 e f(D) 1 e,f(a) 0 хи 1 CDC (D-a) п!

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Step 3

By using these result P.I c...

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1 1 +2) PI D4 2e 1 -e2x 2 1 D2 -4 1 1 eor D2-4 -e2 2 PI (D-2)(D+2) 1 1 -e2x +2 02-4 P.I = (D-2)(2+2) 1 P.I 1 1 4 (D-2) 2 1 xe2x 2 4 1 1 -e2x PI 4 1 2

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Tagged in

Math

Calculus