1
answer
0
watching
128
views
12 Nov 2019
please help me to solve this, thanks!
(6 pts) Consider the second order linear differential equation a. Solve the differential equation. Use A and B to denote arbitrary constants and t the independent variable. b. Write the differential equation as an equivalent first order system using the substitution y(t) = x'(t) . c. For the matrix from part (b), find the eigenvalues and the corresponding eigenvectors. Fill in all the blanks before submitting. The eigenvalue lambda 1 = corresponds to the eigenvector v1 = The eigenvalue lambda 2 = corresponds to the eigenvector v2 = d. Find the real-valued general solution to the system in part (b). Use A and B to denote arbitrary constants and t the independent variable. e. How does the solution you found in part (d) compared to the one in part (a)?
please help me to solve this, thanks!
(6 pts) Consider the second order linear differential equation a. Solve the differential equation. Use A and B to denote arbitrary constants and t the independent variable. b. Write the differential equation as an equivalent first order system using the substitution y(t) = x'(t) . c. For the matrix from part (b), find the eigenvalues and the corresponding eigenvectors. Fill in all the blanks before submitting. The eigenvalue lambda 1 = corresponds to the eigenvector v1 = The eigenvalue lambda 2 = corresponds to the eigenvector v2 = d. Find the real-valued general solution to the system in part (b). Use A and B to denote arbitrary constants and t the independent variable. e. How does the solution you found in part (d) compared to the one in part (a)?
Tod ThielLv2
13 Sep 2019