14. The solution of the differential equation: (D - 2)³y = e²x is k a) y = (₁ + C₂x)e²x + xe²x b) y = (C₁ + ₂x + c3x²)e²x +²e²x c) y = (₁ + c₂x + C3x²)e-2x + xe²x d) None of these

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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14. The solution of the differential equation: (D - 2)³y = e²x is
a) y = (₁ + c₂x)e²x + xe²x b) y = (₁ + ₂x + C3x²)e²x + ²e²x
c) y = (₁ + c₂x + C3x²)e-²x + xe²x d) None of these
15. The complementary function of the DE: (D² - 6D +13)y=0 is
a) y = e³x (Acos2x + Bsin2x)
c) y = e-3x (Acos2x + Bsin2x)
b) y = e³x (Acos4x + Bsin4x)d) y = e2x (Acos2x+ Bsin2x)
Transcribed Image Text:14. The solution of the differential equation: (D - 2)³y = e²x is a) y = (₁ + c₂x)e²x + xe²x b) y = (₁ + ₂x + C3x²)e²x + ²e²x c) y = (₁ + c₂x + C3x²)e-²x + xe²x d) None of these 15. The complementary function of the DE: (D² - 6D +13)y=0 is a) y = e³x (Acos2x + Bsin2x) c) y = e-3x (Acos2x + Bsin2x) b) y = e³x (Acos4x + Bsin4x)d) y = e2x (Acos2x+ Bsin2x)
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