This is a Nonhomogeneous Linear Systems for differential equations using variations of parameters. My professor wanted us to use Cramer's Rule in which I got stuck in. Thank you for your help.
This is a Nonhomogeneous Linear Systems for differential equations using variations of parameters. My professor wanted...
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]
4.
Solve the nonhomogeneous linear system of differential equations
2. Solve the nonhomogeneous linear system of anerential equations () u-9" (). 3. Solve the homogeneous linear system of differential equations 1 ( 2 ) uten ( 46 ) + ( ). 4. Solve the nonhomogeneous linear system of differential equations 43,742 cos(46) - 4 sin(40) (10 5 cos(40) ) +847, 7 4cos(46) + 2 sin(40) 5 sin(46) 5. Solve the initial value problem for the nonhomogeneous linear system of differential...
8. Consider the nonhomogeneous linear system of differential equations 1 1 1 -1 u = -1 11 1 1 u-et 1 1 2 3 First of all, find a fundamental matrix and the inverse matrix of the fundamental matrix of the corresponding homogeneous linear system. Then given a particular solution 71 uy(t) = et 1 2 find the general solution of the nonhomogeneous linear system of differential equations. Hint: det(A - \I) = -(1 – 2)?(1+1)
am Problem 3 Given the system of linear differential equations and initial condi- tions Initial conditions x(0), y(0)0 a. Use Cramer's rule (i.e. Matrix method) to obtain differential equations for x and y.
am Problem 3 Given the system of linear differential equations and initial condi- tions Initial conditions x(0), y(0)0 a. Use Cramer's rule (i.e. Matrix method) to obtain differential equations for x and y.
DIFFERENTIAL EQUATIONS / Linear Algebra
Only people that are proficient in DIFFERENTIAL EQUATIONS should
even attempt to solve. No beginners or amateurs allowed.
Please write clearly and legibly. No sloppy Handwriting. I must
be able to clearly and easily read your solution and answer.
Circle final answer.
9.7.15 Question Help Use the variation of parameters formula to find a general solution of the system x' (t) = Ax(t) + f(t), where A and f(t) are given. - 16 1 A=...
4. (10 pts) Using the Gauss-Jordan elimination process, solve the following systems of linear equations. How many solutions are there? Can we apply Cramer's rule? Explain why (Use the matrix form of linear equations.)
4. (10 pts) Using the Gauss-Jordan elimination process, solve the following systems of linear equations. How many solutions are there? Can we apply Cramer's rule? Explain why (Use the matrix form of linear equations.)
3. Write the following systems of linear equations using augmented matrix form a. 6x+7y= -9 X-y= 5 b. 2x-5y= 4 4x+3y= 5 C. x+y+z= 4 2x-y-z= 2 -x+2y+3z= 5 4. Solve the following Systems of linear equations using Cramer's Rule a. 6x-3y=-3 8x-4y= -4 b. 2x-5y= -4 4x+3y= 5 c. 2x-3y+z= 5 X+2y+z= -3 x-3y+2z= 1
We have been learning about solving systems of linear
differential equation.
Calculation got too complicated when I tried to solve it so it
would be helpful if
you show the steps to solve it. Thank you!
This is the answer to the above problem.
In each of Problems 1-6 use the method of variation of parameters to solve the given initial-value problem. x)() 4 5 X 4e'cost 1. x= 0 _ tcost+3tsint+sint - tsint 1. x()-2e(c
DIFFERENTIAL EQUATIONS / Linear Algebra
Only people that are proficient in DIFFERENTIAL EQUATIONS should
even attempt to solve. No beginners or amateurs allowed.
Please write clearly and legibly. No sloppy Handwriting. I must
be able to clearly and easily read your solution and answer.
Circle final answer.
Here is an example of what the answer should look like. The answer
should be in this form.
example
7x 9.7.15 Question Help Use the variation of parameters formula to find a general...
1 (a) Employ the method of Gaussian elimination to solve the system of linear equations x+2y + 22= 4, 2x + y- z=-1 (b) State Cramer's rule for the solution of systems of linear equations, and use it to calculate the solution of the system of equations in (a)