Find the general solution to the second-order differential equation y" +6y'+18y= 0 O y Cie3x+C2 x e3x O y C1e3C2xe3 Oy C1e3cos (3x) +c2e3x sin (3x) O y C1e 3xCos(3x) + c2 e 3 sin(3x) O y c1Cos (3x) c2 sin (3x)

Find the general solution to the second-order differential equation y" +6y'+18y= 0 O y Cie3x+C2 x e3x O y C1e3C2xe3 Oy C1e3cos (3x) +c2e3x sin (3x) O y C1e 3xCos(3x) + c2 e 3 sin(3x) O y c1Cos (3x) c2 sin (3x)

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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Question

Differential Equestion

Find the general solution to the second-order differential equation
y" +6y'+18y= 0
O y Cie3x+C2 x e3x
O y C1e3C2xe3
Oy C1e3cos (3x) +c2e3x sin (3x)
O y C1e 3xCos(3x) + c2 e 3 sin(3x)
O y c1Cos (3x) c2 sin (3x)

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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