Question

In: Advanced Math

Consider the differential equation x′=[2 4 -2 −2], with x(0)=[1 1] Solve the differential equation where...

Consider the differential equation x′=[2 4

-2 −2],

with x(0)=[1 1]

Solve the differential equation where x=[x(t)y(t)].

x(t)=

y(t)=

please be as clear as possible especially when solving for c1 and c2 that's the part i need help the most

Solutions

Expert Solution



Related Solutions

Consider the differential equation: y'(x)+3xy+y^2=0.     y(1)=0.    h=0.1 Solve the differential equation to determine y(1.3) using: a....
Consider the differential equation: y'(x)+3xy+y^2=0.     y(1)=0.    h=0.1 Solve the differential equation to determine y(1.3) using: a. Euler Method b. Second order Taylor series method c. Second order Runge Kutta method d. Fourth order Runge-Kutta method e. Heun’s predictor corrector method f. Midpoint method
Consider the differential equation (x 2 + 1)y ′′ − 4xy′ + 6y = 0. (a)...
Consider the differential equation (x 2 + 1)y ′′ − 4xy′ + 6y = 0. (a) Determine all singular points and find a minimum value for the radius of convergence of a power series solution about x0 = 0. (b) Use a power series expansion y(x) = ∑∞ n=0 anx n about the ordinary point x0 = 0, to find a general solution to the above differential equation, showing all necessary steps including the following: (i) recurrence relation; (ii) determination...
5. Consider the differential equation xy^5/2 +1+x^2y^3/2dy/dx =0 (a) Show that this differential equation is not...
5. Consider the differential equation xy^5/2 +1+x^2y^3/2dy/dx =0 (a) Show that this differential equation is not exact. (b) Find a value for the constant a such that, when you multiply the d.e. through by xa, it becomes exact. Show your working. Do NOT solve the resulting differential equation. 6. Consider the differential equation (D − 3)(D − 4)y = 0. (a) Solve this d.e., showing brief working. (b) How many solutions does this d.e. have? Justify your answer. (c) How...
Solve the following differential equation: y''+e^{-y}=0 where y is only a function of x.
Solve the following differential equation: y''+e^{-y}=0 where y is only a function of x.
Solve this differential equation y''+(-4-2-2)y'+(4+4+4+4)y=x y(0)=3-2 y'(0)=2-3 Answer it as y(x)=... and motivate all the steps...
Solve this differential equation y''+(-4-2-2)y'+(4+4+4+4)y=x y(0)=3-2 y'(0)=2-3 Answer it as y(x)=... and motivate all the steps of the calculation
For the differential equation (2 -x^4)y" + (2*x -4)y' + (2*x^2)y=0. Compute the recursion formula for...
For the differential equation (2 -x^4)y" + (2*x -4)y' + (2*x^2)y=0. Compute the recursion formula for the coefficients of the power series solution centered at x(0)=0 and use it to compute the first three nonzero terms of the solution with y(0)= 12 , y'(0) =0
Solve this differential equation using Matlab yy' + xy2 =x , with y(0)=5 for x=0 to...
Solve this differential equation using Matlab yy' + xy2 =x , with y(0)=5 for x=0 to 2.5 with a step size 0.25 (a) Analytical (b) Euler (c) Heun d) 4th order R-K method Display all results on the same graph
Solve the following differential equation using the power series method. (1+x^2)y''-y'+y=0
Solve the following differential equation using the power series method. (1+x^2)y''-y'+y=0
Solve the differential equation y''+y'-2y=3, y(0)=2, y'(0) = -1
Solve the differential equation y''+y'-2y=3, y(0)=2, y'(0) = -1
Solve the differential equation 1. a) 2xy"+ y' + y = 0 b) (x-1)y'' + 3y...
Solve the differential equation 1. a) 2xy"+ y' + y = 0 b) (x-1)y'' + 3y = 0
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT