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Provided a homogeneous system of equations (2), we will have one of the two probabilities for the number of solutions.
1. Accurately one solution, the trivial solution
2. Infinitely various non-zero solutions in addition to the trivial solution.
Under the second possibility we can say solution is non-zero since if there are moving to be infinitely many solutions and we identify that one of them is the trivial solution then all the rest should have at least one of the xi's be non-zero and thus we find a non-zero solution.
It is not the first time that we've looked this topic. We also considered linear independence and linear dependence back while we were looking at second order differential equation
Sketch several trajectories for the system, x 1 ' = x 1 + 2x 2 x 2 ' = 3x 1 + 2x 2
2x + 3x
Your grandparents gave you a gift of R2 000 on your 16th birth day. You want to invest the money in an account over four years. You have an option of investing the R2 000 at 8% per
what is 2+2=
Write the subsequent 2nd order differential equation as a system of first order, linear differential equations. 2 y′′ - 5 y′ + y = 0 y (3) = 6 y′ (3) = -1 We can wri
mention the characteristic of mathematic
A 90% acid solution is mixed with a 97% acid solution to obtain 21 litres of a 95% solution. Findout the quantity of every solutions to get the resultant mixture.
20348876567
Evaluate following limits. Solution Here the first two parts are actually just the basic limits including inverse tangents and can easily be found by verifying the fol
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