given that y1= e3x is a solution, if we use the reduction of order to solve...
given y1=x is a solution of the following DEXX+2xy-2y=0, the second solution is x 2 e2 Question 2 2 pts The differential equation whose general solution is Y=CCos(6x)+C2 Sin (V6 x) y" by 0 Oy -6y=0 y +6y=0 y"+6y'=0 2 pts Question 3 given that y1= x1 is a solution, if we use the reduction of order to solve the ODE 2x2 y + xy - 3y=0 we find that u= AXR+B (Ax512 - Ax+B Axe5124B
The indicated function yı() is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, Y2 = vy() / e-SP(x) dx dx (5) y?(x) as instructed, to find a second solution y2(x). x?y" + 2xy' – 6y = 0; Y1 = x2 Y2 The indicated function yı(x) is a solution of the given differential equation. 6y" + y' - y = 0; Y1 Fet/3 Use reduction of order or formula (5) in Section...
viven ODE (a) use reduction of order to find the general solution of 2. Given that y, = e-2x is a solution of the given ODE (a) use reduction of order DE V V -6m 0: (b) what is the second linearly independent solution, y of the ODEO
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, y2 = y1(x) e−∫P(x) dx y 2 1 (x) dx (5) as instructed, to find a second solution y2(x). y'' + 2y' + y = 0; y1 = xe−x y2 =
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
Find a second solution of the given differential equation y2(x). Use reduction of order or formula. y"- 6y'+25y =0; y1=23cos(4x)
The indicated function y_(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-SP(x) dx dx Y2 = Y1(x) >> (5) y? (x) as instructed, to find a second solution y2(x). x?y" + 2xy' – 6y = 0; Y=x2 Y2=
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
1) Use the reduction of order method to solve the following problems given one of the solutions yı: 2x²y” +3xy'-y=0 given y=Vx is a solution to this ODE
4. Find the general solution of y" - 6y' +9y = e3x - 5x