given y1=x is a solution of the following DEXX+2xy-2y=0, the second solution is x 2 e2...
Question 3 2 pts given that y. - x is a solution, if we use the reduction of order to solve the ODE 2xy + xy + 3y-0 we find thatu- Axe/2B O Ax B O AXB O AX312 Activate Window
Use the reduction of order method to solve the following problem given one of the solution y1. (a) (x^2 - 1)y'' -2xy' +2y = 0 ,y1=x (b) (2x+1)y''-4(x+1)y'+4y=0 ,y1=e^2x (c) (x^2-2x+2)y'' - x^2 y'+x^2 y =0, y1=x (d) Prove that if 1+p+q=0 than y=e^x is a solution of y''+p(x)y'+q(x)y=0, use this fact to solve (x-1)y'' - xy' +y =0
given that y1= e3x is a solution, if we use the reduction of order to solve the ODE y" + =6y'+9y=0 we find that u Ax+B Ax+B)e-3x) -3x e Ax
use the fact that y=x is a solution of the homogeneous equation x^2y''-2xy'+2y= 0 to completely solve thee differential equation x^2y''-2xy'+2y= x^2
please help Question 5 27.5 pts Solve the IVP: xy - 2xy = 10x, y(0) = 1 Oy=+2- 52 - 5 2 Oy= 3e-22 + 2x2 - 4 Oy=-e-22 +50 + Oy=6e2x - 52 - 5
15. (2xy + y^2 ) dx + (2xy + x^2 − 2x 2y^2 − 2xy^3 ) dy = 0
5. Solve the linear, constant coefficient ODE y" – 3y' + 2y = 0; y(0) = 0, y'(0) = 1. 6. Solve the IVP with Cauchy-Euler ODE x2y" - 4xy' + 6y = 0; y(1) = 2, y'(1) = 0. 7. Given that y = Ge3x + cze-5x is a solution of the homogeneous equation, use the Method of Undetermined Coefficients to find the general solution of the non-homogeneous ODE " + 2y' - 15y = 3x 8. A 2...
Solve the following linear programming models graphically and explain the solution results based on the different solution types we discussed in class. a) Formulation 1 Subiect to: AX 12 X,Y 20 b) Formulation 2 Max Z = X + 4Y Subject to: 2X +3Y 3 24 Y 2 1 X,Y 2 0 c) Formulation 3 Subject to: X 2 4 6X 6Y 2 42 Y 2 2 Solve the following linear programming models graphically and explain the solution results based...
3. Let y" +2y' - 3y = f(x). Find the solution in the cases (a) f(x)=0; (b) f(x) 6x; (c) f(x) = 4 , y(0)-0, y'(0) - 1.
Find a series solution, centered about x0 = 0, for the given ODE Find a series solution, centered about to = 0, for the given ODE (1 – 2?)y" - 2xy + 2y = 0