Solve this system of a linear equation. 3х – бу = 2 5х +4y = 1
шiлili b, y + бу 0; у(0) 0, (0) 1; 4y" + 5 -- 2y o Problem 4. Sоlvе hоtоgenous epuations
x-4 7. Pax- 8. 4x-y=3 (3x +2y=-18 10. 1, y=2x-4 12.13x+4y-8 r=-4
Find a solution 10. y" – 2y' + 2y = 2x, y(0) = 4, y'0) = 8.
Operations with Rational Expressions -2 3х 7. + x - 2 3х - 6 5х +5 4х – 8 8. x - 1 x - 4 х2 - 16 x + 4
Using matrices to solve systems of equations 1. 2x- 3/2y=-9 2x+y=-4
Systems of Equations: 3x + y = 6 2x-2y=4 Substitution: Elimination: Solve 1 equation for 1 variable. Find opposite coefficients for 1 variable. Rearrange. Multiply equation(s) by constant(s). Plug into 2nd equation Add equations together (lose 1 variable). Solve for the other variable. Solve for variable. Then plug answer back into an original equation to solve for the 2nd variable. y = 6 -- 3x solve 1" equation for y 6x +2y = 12 multiply 1" equation by 2 2x...
7. Given that y(x) = sin 2x is a particular solution to y" + 2y + 4y - 4 cos 2x = 0, find the general solution.
(10 points) Linear Programing (SLOI): 4. iven constraints. 2x+Sy subject to the g Graph the Feasible Region, and minimize the quantity z x +2y 21 r +2y s10 2 2x 2 r 20 (10 points) Linear Programing (SLOI): 4. iven constraints. 2x+Sy subject to the g Graph the Feasible Region, and minimize the quantity z x +2y 21 r +2y s10 2 2x 2 r 20
Find all solutions of the system of equations 2x + 2y + 2z = 4 2y + 2z = 2 3y + 32 = 3 (1, 1.01 (1.1.) (1,1-t. ) The system has no solution. 11.0.1)