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Solve the system of differential equations Sx' = 3.4x – 1.2y y' = 9.9x - 3.57 with the initial condition x(0) = 1, y(0)
Posted: Tue May 10, 2022 7:37 pm
by answerhappygod
- Solve The System Of Differential Equations Sx 3 4x 1 2y Y 9 9x 3 57 With The Initial Condition X 0 1 Y 0 1 (97.6 KiB) Viewed 31 times
Solve the system of differential equations Sx' = 3.4x – 1.2y y' = 9.9x - 3.57 with the initial condition x(0) = 1, y(0) = 3 The eigenvalues and their eigenvectors are found as follows. The lesser of the two eigenvalues is -0.2 and its corresponding eigevector is • [3] (-1) The greater of the two eigenvalues is 0.1 and its corresponding eigevector is a) Select the general solution for this system using the given eigenvalues and eigenvectors. Сје -oz*[3] +03e\"[-1 13 cze0.1t 11 Ocje - 0.2 + Cze0.1 11 Ocje 11 -021 - 1] + cze 04 [3] 0 0t[] + cx[-1) -4 Ocit + cat - 11 b) Use the initial condition to find the constants ci and c2. Use the online calculator C C1 = C2 = c) Write the specific solution to this initial value problem. ä(t) = g(t) = =