Question

In: Advanced Math

Solve by using eigen value of matrices. Provide a solution family of real functions. x'=4x-10y y'=5x-6y

Solve by using eigen value of matrices. Provide a solution family of real functions.

x'=4x-10y

y'=5x-6y

Solutions

Expert Solution


Related Solutions

Solve the following initial value problem. y′′ − 10y′ + 24y  =  5x + e^(4x), y(0)  ...
Solve the following initial value problem. y′′ − 10y′ + 24y  =  5x + e^(4x), y(0)  =  0, y′(0)  =  4 (not using Laplace)
1. Solve the initial value problems a.) y"-10y'+25y=e^5x, y(0)= 1 and y'(0)= 6 b.) y"+y'-2y=2sin(x), y(0)=...
1. Solve the initial value problems a.) y"-10y'+25y=e^5x, y(0)= 1 and y'(0)= 6 b.) y"+y'-2y=2sin(x), y(0)= 1 and y'(0)= 2 c.) y"+14y'+49y=0, y(0)= -1 and y'(0)= 9 2. Find a two-parameter family of solutions to the following differential equations a.) y"-3y'-10y=14e^-2x b.) y"-6y'+25y=0
Assume x and y are functions of t. Evaluate dy/dt with 4xy-5x+6y^3=-126, with dx/dt=-18, and x=6,y=-2...
Assume x and y are functions of t. Evaluate dy/dt with 4xy-5x+6y^3=-126, with dx/dt=-18, and x=6,y=-2 A retail store estimates that weekly sales and weekly advertising costs x​ are related by s=50,000-30,000e^-0.0004x. The current weekly advertising costs are ​$2,500​, and these costs are increasing at a rate of ​$400 per week. Find the current rate of change of sales per week. Use implicit differentiation to find y’ for the equation below and then evaluate y’ at the indicated point, (-4,4)....
Solve the initial–value problem by using the Laplace transform. y′′ +2y′ +10y = δ(t−π), y(0) =...
Solve the initial–value problem by using the Laplace transform. y′′ +2y′ +10y = δ(t−π), y(0) = 0, y′(0) = 4
Solve the system of equations: x+y^2=6y x-2y=-5
Solve the system of equations: x+y^2=6y x-2y=-5
Use MATLAB to solve the following problem: x - 3y = 2 x + 5y = 18 4x - 6y = 20
Use MATLAB to solve the following problem:x - 3y = 2x + 5y = 184x - 6y = 20  
Solve for x using the quadratic formula. Be sure to check solution(s). 2x2-4x +1=0 Solve for...
Solve for x using the quadratic formula. Be sure to check solution(s). 2x2-4x +1=0 Solve for x using the quadratic formula. Be sure to check solution(s). 3x2-2x+4=0 How many and what type of solutions will you have with 4x2-7x+11=0 2 Real solutions 2 complex solutions 1 real solution
2. Find the maximum value of the objective function z = 4x + 6y where x...
2. Find the maximum value of the objective function z = 4x + 6y where x ≥ 0 and y ≥0, subject to the constraints a. −x + y ≤ 11 b. x+ y ≤ 27 c. 2x+ 5y ≤ 90 please do a detailed graph so i can understand better.
Solve the differential equation using the method of undetermined coefficients. y'' − 10y' + 26y =...
Solve the differential equation using the method of undetermined coefficients. y'' − 10y' + 26y = e^−x
Solve the system by Laplace Transform: x'=x-2y y'=5x-y x(0)=-1, y(0)=2
Solve the system by Laplace Transform: x'=x-2y y'=5x-y x(0)=-1, y(0)=2
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT