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The acceleration with which a pest spreads in a plant crop is modeled by the DE. d²2x dt² -k²x = 0 where k = 0.05 is the constant of proportionality and x is the number of infested plants after t days. wwwwwwwwwwwwwwwww Also x(0) = 3,000 infested plants & x'(0) = kxo wwwww Use the Laplace transform to determine the number of infested plants at 10 days under the given initial wwwwwwwwwwwwwww un wwwwwwmmm www. conditions. wwwwwwwww mn mm mm

The acceleration with which a pest spreads in a plant crop is modeled by the DE. d²2x dt² -k²x = 0 where k = 0.05 is the constant of proportionality and x is the number of infested plants after t days. wwwwwwwwwwwwwwwww Also x(0) = 3,000 infested plants & x'(0) = kxo wwwww Use the Laplace transform to determine the number of infested plants at 10 days under the given initial wwwwwwwwwwwwwww un wwwwwwmmm www. conditions. wwwwwwwww mn mm mm

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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JFMNLSRY|AV|H9|WX|Y8AVEIO|un|1a.,·-|-| 53 LLYWwb b b b b b Of O HA a AAAAAUHAAлMMO ∞ ∞ 4 Ï И 4 b W ✔ AA55TTYYTT 446 ho + ✡ € HE •1 % A d²x dt² y L F b bl 3 L -k²x = 0 3 ( 3 ( SOLVE STEP BY STEP IN DIGITAL FORMAT The acceleration with which a pest spreads in a plant crop is modeled by the DE. wum wwwwww umm aa " AASS 3K 3K HhB3 E 4 4 4 4 FSAA |AO|ao|AJ|au|AaAaAa KKK HhB3EE4444 = where k = 0.05 is the constant of proportionality and x is the number of infested plants after t days. Also x(0) = 3,000 infested plants & x´(0) = kx。 Use the Laplace transform to determine the number of infested plants at 10 days under the given initial www imm mmmmmm mm mmmmm conditions.
Transcribed Image Text:JFMNLSRY|AV|H9|WX|Y8AVEIO|un|1a.,·-|-| 53 LLYWwb b b b b b Of O HA a AAAAAUHAAлMMO ∞ ∞ 4 Ï И 4 b W ✔ AA55TTYYTT 446 ho + ✡ € HE •1 % A d²x dt² y L F b bl 3 L -k²x = 0 3 ( 3 ( SOLVE STEP BY STEP IN DIGITAL FORMAT The acceleration with which a pest spreads in a plant crop is modeled by the DE. wum wwwwww umm aa " AASS 3K 3K HhB3 E 4 4 4 4 FSAA |AO|ao|AJ|au|AaAaAa KKK HhB3EE4444 = where k = 0.05 is the constant of proportionality and x is the number of infested plants after t days. Also x(0) = 3,000 infested plants & x´(0) = kx。 Use the Laplace transform to determine the number of infested plants at 10 days under the given initial www imm mmmmmm mm mmmmm conditions.
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