Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. -t 2x' + y' - 3x - 4y = e ¯ 4t x' +y'+ 3x + y = e 3t O B. x(t) = C, e + C2t e C. x(t) = C, cos (3t) + C2 sin (3t) 3t 3t O D. x(t) = C, e cos (3t) + C2 e sin (3t) O E. The system is degenerate. Now find y(t) so that y(t) and the solution for x(t) found in the previous step are a general solution to the system of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. y(t) = O B. The system is degenerate.

Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. -t 2x' + y' - 3x - 4y = e ¯ 4t x' +y'+ 3x + y = e 3t O B. x(t) = C, e + C2t e C. x(t) = C, cos (3t) + C2 sin (3t) 3t 3t O D. x(t) = C, e cos (3t) + C2 e sin (3t) O E. The system is degenerate. Now find y(t) so that y(t) and the solution for x(t) found in the previous step are a general solution to the system of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. y(t) = O B. The system is degenerate.

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...

See similar textbooks