Find the general solution of the following equation: y" – 2y + 4y = 0.O yG (x) = c1e* cos(x) + c2e* sin(x)O yG (x) = c1e* cos (V3x) + c2e* sin(v3x)O yG (x) = c1e* + c2xe*O yG (x) = c1 cos(/3x) + c2 sin(v3x)O yG (x) = c1ev3x cos(x) + c2ev3x sin(x) Find the general solution of the following equation: y" – 6y + 7y = 0.O yG (x) = cjev2x + cze¬3vZxO yG (x) = c1e(3+v2)x + cze(3=v2)xO yG (x) = ce³x + c2e°O yG (x) = c1ev2x+ c2e¬V2xO yG (x) = cje'cjevZx+ c2xe¬v2x

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Answered: Find the general solution of 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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Find f. f"(e) = sin(e) + cos(e), f(0) = 5, f(0) = 4 f(e) = 5t – sin(t) – cos(t) + 6
A particular solution of y" – 3y' – 4y = 2sinx a. Cosx 17 3 cosx COSX - 17 5 sinx 17 b. 3 sinx 17 c. 3 -sinx 17 d. COSX + 17 е. - 5cosx + 3sinx
Solve the D. E. to the I. V. P. sinx(e-y + 1)x' – cosx = 1, y(G) = 0 COSX = O (1 + e') (1 + cos x) -1 O (1 – e) (1 + cos x) = 1 O (1 + e') (1 + cos x) = 0 (1 + е") (1 + cos x) —D 2 O (1 + e") (1 + sin x) = 2 (1 + e) (1 – cos x) = 2
2) x³y? = 2x + 2y3 3) y = sin?(x) - cos³(2x) + 2
Find f. f"(e) = sin(e) + cos(e), f(0) = 5, f(0) = 4 f(e) -sin (0) – cos(0) + 50 + 6
The general solution of xty'= -x³y- csc(xy) is A 2x?cos(xy) – 1= cx B 2x?cos(xy) +1= cx? (c) -2xcos(xy) 2+1= cx? D 2x?sec(xy) +1= cx
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may i have part 2
I need the answer as soon as possible
Find the general solution of the equation

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Find the general solution of the following equation: y" – 2y + 4y = 0. O yG (x) = c1e* cos(x) + c2e* sin(x) O yG (x) = c1e* cos (V3x) + c2e* sin(v3x) O yG (x) = c1e* + c2xe* O yG (x) = c1 cos(/3x) + c2 sin(v3x) O yG (x) = c1ev3x cos(x) + c2ev3x sin(x)