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- Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by the parametric representation x1=t, x2=s and x3=3+st, where s and t are any real numbers. Then show that the solutions to the system can also be written as x1=3+st,x2=s and x3=t.Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the system have exactly one solution?3. i) Determine the general solution of the system of equations indicating the method applied. ii) The particular solution by applying the initial conditions: ..
- Solve the system ax - by - 2cz = 21, ax + by + cz = 0 and 2ax - by + cz = 14 for (x, y, z) in terms of the nonzero constants a, b, and c.transform the equation into a systems of first-order equation: 2y(4) - et y' + 2ty = cos(t) y(0) = 1 y'(0) = 2 y''(0) = 5 y'''(0) = -3Solve the system ax - by + 2cz = -4, ax + 3by - cz = 1 and 2ax + by + 3cz = 2 for (x, y, z) in terms of the nonzero constants a, b, and c.
- Can someone help me with what does "express k in terms of the parameters of the system" and how to do it?Solve the system for (x,y,z) in terms of the nonzero constants a, b, and c. ax − by − 2cz = −15 ax + by + cz = 0 3ax − by + cz = −26Solve the system of linear DE by elimination with initial conditions
- A system of particles are located on the x-axis with masses (in kg) 7, 12, 2, 10, and 3 whose coordinates respectively are -4, 2, 5, -2, and 3. Where is the center of mass of the system of particles?Find general solutions of the linear systems. If initial conditions are given, find the particular solution that satisfies them. x'' = -4x + sin t , y'' = 4x - 8yA radioactive substance has an initial mass of x grams, after decaying for y hours, the substance all that remains is z grams, where x, y, and z are solutions to a system of equations known linear which is shown in the figure: 1. Determine the solution of a linear equation using the Gauss-Jordan . method 2. Calculate the half-life of the radioactive substance 3. And draw a graph (time and mass)
