3 4 -48 7 -8 |x is8 8 -91. The general solution of x' =12(a) x = Ci et 2 |+ C2e-t| 0 + C3 et+ C3e-t21()3(b) x = C1et-2+ C2e+ C3 et1(c) x = C, e-3t+ C2 et+ C3 et-21(d) x = C1et-2+ C2e+ C3e-t1-2(e) None of the above.

To solve this problem, first we have to calculate eigenvalues and corresponding eigenvectors of the…

Answered: 3 4 -4 8 7 -8 x is 8 8 -9 1. The…

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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#14. Find what is missing with complete solution
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
4. If f(x) = ax² + bx + c, and f (x − 1) = f (x) + x + 1, what is the value of (a + b)? (A) (B) (C) (D) 3 (E) Solve yourself: 2 1 - نیا انا لنا ما 3 4 Substitute x=0 into first equation: (A) 11 (B) 19 (C) 29 (D) 39 (E) 41 Solve yourself: f(0) = c Substitute x-1 into first equation: f(1) = a(1)^2 + b(1) + c f(1) =a+b+c { Substitute x=0 into second equation: f(0 + 1) = : 5. If f(x) = x² + 3 and g(x) = 3f(x), what is the greatest possible value of f (x - 1), if g (x) = 84?
Calculus HW
an = 2an-1 + an-2 + 2an-3, Solve with the characteristic root technique. (h) 1₁ 1₂ 13 => an 1₁ = 12 = 13 => 1₁ = 1₂ #13 ao = 3, a₁ = 7 ve a₂ an = = C₁ (1₁)² + C₂ (r₂)” + C3 (13)” (h) = C₁ (¹₁)" + C₂ (1₂)^n + C3 (¹3)¹n² 15 (h) an = C₁ (₁)" + C₂ (r₂)"n + C3 (13)"
If d (a) = 5, 3, h (x) = 2a2- 5x +7, k (a) = V2x -6. f () = a-1, g (2) = 2z - 2x+8) Find (g - f) (x)
ax+b=3(x-a)
find each r(x (x) = 3x^2 - 4 and r(x) = 2x ^ 2 - 5x + 1 +2)
#14

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3 4 -4 8 7 -8 x is 8 8 -9 1. The general solution of x' = 2 (a) x = Ce* 2 + C2e| 0 + C3e Cze+ 2 3 (b) x = C1 e -2 + C2e 1 + C3 e -3 1 (c) x = C,e-3t 2 + Cze' 0+C3e² 1 (d) x = C1 et -2 |+ C2e+ +C3et (e) None of the above.