Differential equations by systematic elimination

I could use your assistance with a problem. The problem is to be soulved by using MATLAB. I have the stu version 6.0. I'm not real familure with using it, if you could show me the code on the problem I would greatly appriciate it. I have tried for a long time with no headway. I'm sorry, I wrote the problem in complete. the problem: dx/dt = 4x+7y dy/dt = x - 2y

Fundamental set of solutions of a Differential Equation

I'm having difficulty with all the steps and working of the problem. If you could lend some assistance I would be most grateful. Thank you. Verify that e^x Cos(2x) and e^x Sin(2x) form a fundamental set of solutions of the differential equation [ y'' - 2y + 5y = 0 ] on the interval (- infinidety, infinidety). With the e^x the "x" is the only upper score in the problem. The Cos and Sin are on the regular line of the problem.

Need help with Algebra solution

12. Simplify: 10 t^6 3 ---- - --- -:- ---- t^2 2 t^5 13. Add: 4 7 ---- + ---- X x^2 14. Sandra can paint a kitchen in 5 hours and James can paint the same kitchen in 6 hours. How long would it take them working together to paint the kitchen? 15. Simplify. __ __ __ ___ 5/18 -- /12 +3 /2 -- 5/75 16.Simplify: ___ ___ /27 -- /3 17 Simplify: a b -- + --- b a

Questions on differential equations

3 questions on differential equations university level. (See attached file for full problem description)

Uni differential eqn problem

(See attached file for full problem description with all equations) --- I will give similar examples. Solutions: 1.The ODE X"+ kX = 0 has diff types sln depending on sign of k. We consider the three poss cases separately. k=0: X"=0 so that X(x)=Ao+Box, X'(0)=0 implies Bo=0 so that X(x)=Ao. Finally, X(1)=0 implies Ao=0 and there is only triv sln X=0. The matrix has determinant e^mue + e^-mue= 2cosh.mue, which is never zero and it follows that pair of eqns has unique sln Ahat=Bhat=0 and only triv sln X=0. ---