Problem #4: Consider the following ordinary differential equation: y(5)(x) + 3y(4)(x) + 11y"''(x) 2r²+3xe-3x/2 Problem = 4: ² cos( √35 x) If you were to use the Method of Undetermined Coefficients, which form should you use in order to be guaranteed to be able to find unique coefficients yielding a particular solution? (A) x³ (4x² + Bx + C) + x(D + Ex)e¯³x/² cos( √35 x) (B) 4x² + Bxe¯3x/² cos( √35 x) + Bxe¯3x/2 sin( n( √35 x) (C) x³ (4x² + Bx + C) + x(D + Ex)e¯³x/² cos( √35 x) + x(Dx + E)e¯3x/² sin( √35 x) (D) (4x² + Bx + C) + (D + Ex)e¯³x/² cos( √35 x) + (D + Ex)e¯³x/2 sin( √35 x) (E) x²³ (4x² + Bx + C) + x(D + Ex)e¯³x/2 sin( √35 x) (F) x³ (4x² + Bx + C) + x(D + Ex)e¯³x/² cos( √35 x) + x(Fx + G)e¯³x/2 sin( √35 x) (G) 4x³ + Bx²e¯3x/² cos( √35 x) + Cx²e-3x/² sin( √35x) (H) (4x² + Bx + C) + (D + Ex)e¯³x/² sin( √35 x) B = V
Problem #4: Consider the following ordinary differential equation: y(5)(x) + 3y(4)(x) + 11y"''(x) 2r²+3xe-3x/2 Problem = 4: ² cos( √35 x) If you were to use the Method of Undetermined Coefficients, which form should you use in order to be guaranteed to be able to find unique coefficients yielding a particular solution? (A) x³ (4x² + Bx + C) + x(D + Ex)e¯³x/² cos( √35 x) (B) 4x² + Bxe¯3x/² cos( √35 x) + Bxe¯3x/2 sin( n( √35 x) (C) x³ (4x² + Bx + C) + x(D + Ex)e¯³x/² cos( √35 x) + x(Dx + E)e¯3x/² sin( √35 x) (D) (4x² + Bx + C) + (D + Ex)e¯³x/² cos( √35 x) + (D + Ex)e¯³x/2 sin( √35 x) (E) x²³ (4x² + Bx + C) + x(D + Ex)e¯³x/2 sin( √35 x) (F) x³ (4x² + Bx + C) + x(D + Ex)e¯³x/² cos( √35 x) + x(Fx + G)e¯³x/2 sin( √35 x) (G) 4x³ + Bx²e¯3x/² cos( √35 x) + Cx²e-3x/² sin( √35x) (H) (4x² + Bx + C) + (D + Ex)e¯³x/² sin( √35 x) B = V
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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Transcribed Image Text:Problem #4: Consider the following ordinary differential equation:
Problem #4:
y(5)(x) + 3y(4)(x) + 11y¹'(x) = 2x² + 3xe−3x/2 cos( √35 x)
If you were to use the Method of Undetermined Coefficients, which form should you use in order to be guaranteed
to be able to find unique coefficients yielding a particular solution?
(A) x² (Ax² + Bx + C) + x(D+ Ex)e¯3x/2 cos( √35 x) (B) 4x² + Bxe¯³x/2 cos( √35 x) +
(C) x³ (4x² + Bx + C) + x(D + Ex)e¯³x/² cos( √35 x) +
+ x(Dx + E)e¯3x/² sin( √35 x)
(D) (4x² + Bx + C) + (D + Ex)e¯3x/² cos( √35 x) + (D + Ex)e¯3x/2 sin ( √35 x)
(E) x² (Ax² + Bx + C) + x(D+ Ex)e 3x/2 sin(
(√35x)
B
² sin( √35 .x)
(F) x³ (4x² + Bx + C) + x(D + Ex)e¯³x/² cos( √35x) + x(Fx + G)e¯³x/² sin( √35 x)
(G) 4x³ + Bx²e¯³x/² cos( √35 x) + Cx²e-³x/² sin( √35x) (H) (dx² + Bx + C) + (D + Ex)e¯³x/² sin( √35 x)
V
+ Bxe 3x/2
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