Problem #14: Solve the absolute value equations and inequalities. a) 15x-71 = 2 d) 13x -1l<8...
differential equations
Problem 2 Solve y"+y= ſt/2, if 0 <t<6, if t > 6 y(0) = 6, 7(0) = 8
please help with problem 15
Describe and correct the error in graphing this system of inequalities. 14. ther Mixd ur -2y <x+10 he dehed end Jolid ones Fill in the blanks. X 15. A consistent dependent system of linear equations has solution(s) and the Intelsect lines graphed will 454-400 (over) A-(1096)-07/11-07 AMERICAN SCHOOL Lansing, IL 5
(1 point) Take the Laplace transform of the following initial value problem and solve for Y(8) = L{y(t)}; ſ1, 0<t<1 y" – 6y' - 27y= { O, 1<t y(0) = 0, y'(0) = 0 Y(8) = (1-e^(-s)(s(s^2-6s-27)) Now find the inverse transform: y(t) = (Notation: write uſt-c) for the Heaviside step function uct) with step at t = c.) Note: 1 | 1 s(8 – 9)(8 + 3) 36 6 10 + s $+37108 8-9
DIFFERENTIAL EQUATIONS
Solutions of Systems of Linear Differential Equations
(L01.5 - 15 points) Show that the general solution of the nonhomogeneous linear system is x=(1 71}x+ []}<+[4.]e + 3' X=al_2-vzlevat +al-1 + vale-vēt + [1]{2+{2}]++ [4]
2. Solve the initial-boundary value problem One = 48m2 for 0 < x < 8, t > 0, u(0, t) = u(8,t) = 0 for t > 0, u(2,0) = 2e-4x for 0 < x < 8. (60 pts.)
x, 05x<1 if f(x) = {k, 15x<2 where K-3 and F(s) = {{f(x)}, then the value of F(2) rounded to three decimal places is ex X22
27 Trig Equations II: Problem 3 Prev Up Nex (1 pt) Solve he following equation in the interval z < π wite he exact answers, no de cimas r there are matiple answers separate them with commas Use pi to represent π (For example, to enter , type 10p/27) 2 cos(2x) = v2
Solve the linear programming problem by simplex method. . Minimize C= -x - 2y + z. subject to 2x + y +2 < 14 4x + 2y + 3z < 28 2x + 5y + 5z < 30 x = 0, y>02 > 0
< < I at 12.1U.56 AM.jpeg Q Search 9. Use the Laplace Transform (only) to solve the initial value problem problem y+6y e,y(0) 2 e. 1e a. e10 d. none of the above dy 2x
equations Ordinary Differential Homework problem 8 consider the initial value problem So if ostki - by Ist 25 12 If if 5< t < ycod=4 your solve for equation for Y Y=[{y} = on both sides of the Take invertse laplace transform previous equation to sclue for y y =