Given the differential equation y" + 5y' + 6y = &x² e=7x Determine the General Solution for the differential equation. A y(x) = C, e-2* cos(/2 x) + C,e-2* sin(Vīx) + [Ax² + Bx + c]e-7« %3D B y(x) = C, e-2* + C,e -dr + [Ax? + Bx + C]e¬74 y (x) = C, e2* + C, e + Ax² e¯ ,-7x y(x) = C, e-2* + C,e-3r + Ax²e=7« ® y(x) = C, e²* + C,e + [Ax² + Bx + C]e-7* y (x) = C, e2 + C,e* + [Ax² + Bx + y(x) = C, e-2* cos(/7 x) + C,e-2* sin(Vēx) + Ax² e=7« %3D
Given the differential equation y" + 5y' + 6y = &x² e=7x Determine the General Solution for the differential equation. A y(x) = C, e-2* cos(/2 x) + C,e-2* sin(Vīx) + [Ax² + Bx + c]e-7« %3D B y(x) = C, e-2* + C,e -dr + [Ax? + Bx + C]e¬74 y (x) = C, e2* + C, e + Ax² e¯ ,-7x y(x) = C, e-2* + C,e-3r + Ax²e=7« ® y(x) = C, e²* + C,e + [Ax² + Bx + C]e-7* y (x) = C, e2 + C,e* + [Ax² + Bx + y(x) = C, e-2* cos(/7 x) + C,e-2* sin(Vēx) + Ax² e=7« %3D
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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11
![Given the differential equation
y"+ 5y' + 6y = &x? e -7x
Determine the General Solution for the differential equation.
A
y (x) = C, e-2ª cos(/x) + c,e-2* sin(/2x) + [Ax? + Bx + C]e-7*
y(x) = C, e -2« + C,e-3* + [Ax² + Bx + C]e-7«
В
%3D
© y(x) = C, e2 + C,e + Ax²e=7*
D y(x) = C, e-2* + C,e-3« + Ax² e-7*
%3D
E y(x) = C, e + c,e* + [Ax² + Bx + C]e-7«
y(x) = C,e-2" cos(/2 x) + C,e-ª sin(/=x) + Ax² e¬7«
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4df1ae9d-81b1-43f4-beb8-f4a94ce61cbc%2F7899c9f9-2d86-4a2f-87b8-ede528fd45a8%2Fqcbjidg_processed.png&w=3840&q=75)
Transcribed Image Text:Given the differential equation
y"+ 5y' + 6y = &x? e -7x
Determine the General Solution for the differential equation.
A
y (x) = C, e-2ª cos(/x) + c,e-2* sin(/2x) + [Ax? + Bx + C]e-7*
y(x) = C, e -2« + C,e-3* + [Ax² + Bx + C]e-7«
В
%3D
© y(x) = C, e2 + C,e + Ax²e=7*
D y(x) = C, e-2* + C,e-3« + Ax² e-7*
%3D
E y(x) = C, e + c,e* + [Ax² + Bx + C]e-7«
y(x) = C,e-2" cos(/2 x) + C,e-ª sin(/=x) + Ax² e¬7«
%3D
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