10) Which of the following is the general solution of the homogeneous second-order differential equation y + 8y + 52y=0? Here, C, C₁, and C2 are arbitrary real constants. A) y = C₁ecos(61) + C₂e*sin(61) + C B) y = et (sin(4t) + cos(6t)) + C C) y = C₁esin(6) + C₂e+ cos(6t) + C D) y = C₁esin(6) + C₂e+cos(6) E) y=e(C₁sin(61) + C₂cos(61))

10) Which of the following is the general solution of the homogeneous second-order differential equation y + 8y + 52y=0? Here, C, C₁, and C2 are arbitrary real constants. A) y = C₁ecos(61) + C₂e*sin(61) + C B) y = et (sin(4t) + cos(6t)) + C C) y = C₁esin(6) + C₂e+ cos(6t) + C D) y = C₁esin(6) + C₂e+cos(6) E) y=e(C₁sin(61) + C₂cos(61))

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...

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