Distinct Real Eigenvalues
In Problems 1–12 find the general solution of the given system.
7.
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- Exercise 3.6.1. Find the general solution for the system -3 x = ( 23 ) x + cos(2t) ( _ )+(²).arrow_forwardDetermine the solution of (2x - 3y + 2)dx + (2x - 3y + 1)dy = 0. a. 10x + 10y + ln(10x - 15y + 8)2 = c b. 10x + 10y + ln(10x - 15y - 8)2 = c c. 10x - 10y + ln(10x + 15y + 8)2 = c d. 10x - 10y - ln(10x + 15y + 8)2 = carrow_forwardin picarrow_forward
- 4. Solve the system dt -1 with a1 (0) = 1 and 2(0) = -1.arrow_forwardYou are given the following system of differential equations: dx/dy = 6x + 2y, dy/dt = 2x + 9y You are told that the coefficient matrix is: [6 2] [2 9] and this matrix has eigenvectors: [1] and [-2][2] [1] and the corresponding eigenvalues of 10 and 5. What is the general solution of this system?(options A-E are pictured below)arrow_forward3.3(1) Instructions: Do not use the matrix methods. Please show your calculations step by step on how you get to the answers please. 2. What is the slope of the tangent to the curve (shown in the image) at the abscissa point is x = 2?arrow_forward
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