The solution of the equationу" +8y'+16у 30which satisfies y(0) = 4 and y'(0) = 2 isO a) 4 e-4t _ 9te2O b) 4 e-41 + 18 te-4te-4' +18 te-4tO d) -e-4 – 72 te 4t

Answered: Image /qna-images/answer/f3fe671a-207e-4957-94f5-ff10e82b8468.jpg

Answered: The solution of the equation у"…

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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(у-3) -dy -бу+1 у2
Let A and B be real numbers such that a root of the equation z ^ 3 + Az ^ 2 + Bz + 26 = 0is 1 + i. What is the real solution of the above equation? Hint: the constant is obtained by multiplying all the solutions of the equation.
а) у%3DIn(x? + 4)(2х + 5) b) у%3DIn (12х - 7) с) у ex2+3 ex-4 - d) y= 2x'ex e) y = ev3x+T
Find the general solution of the differantial equation nn ww х?у" — 2ху' + 2y 3D 2х3е*
I need complete solution here. And answer must be in 4 decimal places.
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1 2 5 Let A = _^-[; ;] -[-]--[-]»-[?]-.-;] b₁ b3 7 16 29 12 a. Find A¹ and use it solve the four equations Ax=b₁, Ax=b₂ Ax=b3, and Ax=b4- a. Find A -5 1 31 b₂ = b. The four equations in part (a) can be solved by the same set of operations, since the coefficient matrix is the same in each case. Solve the four equations in part (a) by row reducing the augmented matrix [A b₁ b₂ b3 b4]. OA. The inverse matrix is A and b4= = Select the correct choice below and, if necessary, fill in the answer box to complete your choice 6 (Type an integer or simplified fraction for each matrix element.) O B. The matrix is not invertible. 34
Which pair of equations are inverses of each other? A)=Vx-4+ 2. g) = (r-4) 2 B )=v3-x+ 2, gu) = (x – 2 + 3 O) = V1--5, g) = -(« + 5) + 1 D=V-2-1. g(x) =-(x + 1)* + 2
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Solve -6-3] 0-181 = Submit Question x(0) = 3, y(0) = 6 +
2 2 2 2.х3 + уз %3D аз, find y".
Solve for x and y in each of the following math equations use either method substitution or elimination for 1,2,3 questions. 1.) 4u + (5u + 4) = t +1 2t + 9 = 14 2.) 90 + 1/a = 6b + (-10) 100 + a = (1/2) (b) 3.) 3x + 9Y = 14x 9+ (y+12**1) = b b+ 40 = b+20 4.) Which method do you prefer and why elimination or substitution?

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The solution of the equation у" +8y'+16у 30 which satisfies y(0) = 4 and y'(0) = 2 is O a) 4 e-4t _ 9te 2 O b) 4 e-41 + 18 te-4t e-4' +18 te-4t O d) -e-4 – 72 te 4t