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Find the Particular Solution of the Differential Equation yt+(8x20)y=0 that y ^ { t } + ( 8 x - 20 ) y = 0 \text { that }

Question 69

Multiple Choice

Find the particular solution of the differential equation yt+(8x20) y=0 that y ^ { t } + ( 8 x - 20 ) y = 0 \text { that } satisfies the boundary condition y(5) =2y ( 5 ) = 2 .


A) y=2e20x+8x2y = 2 e ^ { 20 x + 8 x ^ { 2 } }
B) y=4e20x4x2y = 4 e ^ { - 20 x - 4 x ^ { 2 } }
C) y=2e20x4x2y = 2 e ^ { 20 x - 4 x ^ { 2 } }
D) y=4e20x4x2y = 4 e ^ { 20 x - 4 x ^ { 2 } }
E) y=2e20x+8x2y = 2 e ^ { - 20 x + 8 x ^ { 2 } }

Correct Answer:

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