PROBLEMS Solve for y. 3.1. - x + 4x + sin 6x 3.4. y + 3x = 0 3.5. (x-1)? ydx + x? (y - 1)dy = 0 Just find a solution. Solving for y is tough. Test for exactness and solve if exact. 3.6. (y - x) dx + (x? - y) dy - 0 3.7. (2x + 3y) dx + (3x + y - 1) dy - 0 3.8. (2xy Y + 2xy + y) dx + (x*y*el...
Solve the following linear programming problem. Maximize: z=5x+4y Subject to: 6x-y≤16 3x+y≥12 x≥2 y≤8 The maxiumum value of 5x+4y is ____ at the point _____ (Type an integer or a simplified fraction.)
Solve the system by graphing. 3x - 2y = 12 6x - 4y = -24 Use the graphing tool to graph the system. Click to enlarge graph -10 8 6 2 Select the correct choice below and fill in any answer boxes present in your choice. O A. The unique solution is : (Type an ordered pair.) OB. There are infinitely many solutions. OC. There is no solution.
For the linear system 3x + 2y + 10z = -6 x + 2z = -4 y + 2z = 3x + 4y + 10z = 8 a) Use your calculator to place the augmented matrix in RREF and write it here. b) Find the general solution to the linear system, written as either the vector equation of a line or the vector equation of a plane.
Solve the system of linear equations using the elimination method x 4y z 18 3x y 4z 9 x 4y 4z 15 - + The unique solution to the system is (Type an exact answer in simplified form.)
10) Extra: (10pts) Rewrite the system in D notation, then solve by elimination: x'=6x-y y'=x+4y
5. Solve the linear, constant coefficient ODE y" – 3y' + 2y = 0; y(0) = 0, y'(0) = 1. 6. Solve the IVP with Cauchy-Euler ODE x2y" - 4xy' + 6y = 0; y(1) = 2, y'(1) = 0. 7. Given that y = Ge3x + cze-5x is a solution of the homogeneous equation, use the Method of Undetermined Coefficients to find the general solution of the non-homogeneous ODE " + 2y' - 15y = 3x 8. A 2...
Need help with all of it Problem 2: Consider the 1st order ODE ry + (2.+ 3y2 – 20y = 0. (2) As we discussed in class, this ODE isn't linear, exact, or separable. We will now develop a method to solve an ODE like this. Consider the more general case given by the ODE M(2,4) + N(2,4)} = 0 as in our situation, assume this ODE isn't linear, separable, or exact. Our goal will be to find a function...
1 Is x=2 y = 2 a solution of the given system of equations? 3x - 4y = 4 X-6y = 2 Is the first equation satisfied? 0 Yes Ο Νο Is the second equation satisfied? Yes Ο Νο 1 As a result, is x=2 y=5 a solution of the given system of equations? 1 Isx=2, y=3 a solution of the given system of equations? eos 3x - 4y = 4 1 15 X-6y = 2 No Is the second...
Differential equations. Please answer all parts of the question! 1.Consider the linear second-order ODE +2y 0. (A) What is the "characteristic polynomial"? (B) What is the "characteristic equation"? And what are the roots? (C) What is the general solution to the ODE? 2.Find the general solution to 324u-y