7. Evaluate *(D5 – 3D¹ +8D³ + 16D² – 9D - 13)y = 0y = (C₁ + C₂x)e¯x + С3ex+C4e²x cos3x +C5e²x sin3xy = C₁e + C₂е¯* + C3e*+C4e²x cos3x +C5e²x sin3xA)B)y = (C₁+C₂x + C3x²)e-x+C₁e²x cos3x + C5e²x sin3xy = (C₁ + C₂ + C3) ex+C4e²x cos3x +C5e²x sin3xD)

Answered: Image /qna-images/answer/6e53bfa1-a3ce-427b-b844-c0d7a278a214.jpg

Answered: 7. Evaluate * (D5 – 3D¹ + 8D³ + 16D² –…

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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In what form should the particular so lu tion be sought for the equation y(4) + 2y" + y" + 2y' = xe-2x ? A) yp = Axe-2x cosx B) yp = e-2* (Ax + B) C) y, = e-2*(Ax² + Bx) D) y, = Ae-2x E) yp = (Ax + B)cosx+ (Cx + D)sinx
1. Solve 2. Solve (D10+ 3D820D6 - 48D4 + 64D²)y = 0 (D³ - D² - 6D)y = 12x - 2 + 5e³x - 18 sin(3x)
Solve: y" + 9y = 9csc3x O y = C1cos3x + C2 sin3x – 3xcos3x + sin3xln(sin3x) O y = C1 cos3x + C2 sin3x + 3xcos3x – sin3xln(sin3x) O y = C1cos3x + C2sin3x + cos3æln(cos3x) – 3xsin3x O y = C1cos3x + C2 sin3x + cos3xln(cos3x)+ 3xsin3x O y = C1cos3 + C2 sin3x – cos3aln(cos3x) + 3xsin3x O y = C1 cos3x + C2 sin3x – 3xcos3x – sin3xln(sin3x) O y = C1 cos3x + C2 sin3x – cos3xln(cos3x) – 3xsin3x %3D O y = C1 cos3x + C2 sin3x + 3xcos3x + sin3xln(sin3x)
1) dx Ans 극n2 2) frvr* +9&x Ans. 98/3 dx 3) xv4x -1 dx Ans.2Tan 4x – 1+ C -l 4) - sin x + cosx dx 5) tan x -1 6) fxVx* + 4dx * + 4)* +c Ans. de 7) -Vx Ans. 8) Ans. Vx -1- tan-Vr²-1+C idt 2 Ans. 21 (31 – 2XI + 21)*ª +C 9) - V1 + 21
xdx 2х +3 1 b) s2*-2x-4 dx e)f dx 2х-4 - dx 2x + 6х* + 4х a) dx d) х2—1 2 х3+5х х* + 2х — 3 x +25
do 2 b)d)j)
2Ox -4Dx Dy +40y)u = Cos (2X+y)+xy Ans. U= i(y-2x) +x2 (9-2x) + Coslzx+y) + キー2
S(1 + sec ax)²dx is equal to
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Verify that y = - -4e-x ODE y" + 3y + 2y = 4x². SHOW ALL WORK! 2e-2x + 2x² - 6x +7 is a solution of the
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