In problem 9–12 use (5) to find the general solution of the given system.
9.
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First Course in Differential Equations (Instructor's)
- 1. Solve for the unknown/s. 1. x: 4 = (2x + 3) = 12 2. (x + 1): (2x + 3) = (x + 3)(2x + 8) 3. (3x - 1): (3x + 1) = (x + 8): (x + 12) 4. (x + 2):3 - 2: (5 - x)arrow_forward1 What is the solution for the following system of equations? 2x + y =77 X - 2y ='6 A (3, 1) (1, 3) C (-1, 4) (4, 1) E (4, -1)arrow_forward7. Express the general solution to the following system in terms of real- 30-2 -1 1 0 210 valued functions: x': = 8³] X.arrow_forward
- 2 4 3. (b) Would you prefer to solve the above system by the method of undetermined coefficients? X' = (; )x + (;). Justify your answer.arrow_forward2. Show that x4 - 3x - 1 has a solution between 1 and 0, and another solution between 1 and 2.arrow_forward8. Use any method to find the general solution of the system x + 2 [1/₂].arrow_forward
- 13 Solve the following linear system of DE; x' = Añ. 9x15x2 + 3x3 4x2 + 3x3 O 13arrow_forwardFind the particular solution of z²y - y ; y (3) = –1 y+1 - a - y + In | y |= 7 - - a - y + In | y | = – 7 3 + a - y1- In | y |= 7 x - y – In | y |=- 7arrow_forwardUse (1) in Section 8.4 X = eAtc (1) to find the general solution of the given system. 1 X' = 0. X(t) =arrow_forward
- a " OMANTEL If E (X) = -2 and V(X) = 6 () Е(5X — 2) 3 5 E(X) — Е(2) — (5x (-2)) — 2 %3D -12 (iї) V(5X — 2) %3D 52 V(X) — V(2) 3 (25 х 6) — 0 %3D150 (iї) V(-5X — 2) %3D (-5)?V(X) — V(2) 3D (25 х 6) —0 %3D 150 (iv) E (X²) =?arrow_forwardFind the general solution of * y" – 2y" + 10y" = 0 1 Add File Find the general solution of y" + y" – 9y" – 13y" + 8y' + 12y = 0 1 Add Filearrow_forwardExercise 3.6.1. Find the general solution for the system -3 x = ( 23 ) x + cos(2t) ( _ )+(²).arrow_forward
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