Question

In: Math

In reduction of order, we take a homogeneous solution y1, then consider a potential solution y=uy1,...

In reduction of order, we take a homogeneous solution y1, then consider a potential solution y=uy1, When this is substituted into the second order DE, something important MUST happen for this technique to work. Explain what that important thing is.

Solutions

Expert Solution

milcah answered 2 years ago
Next > < Previous

Related Solutions

What is the standard reduction potential of the Y1+/Y redox couple if the cell potential of...
What is the standard reduction potential of the Y1+/Y redox couple if the cell potential of the following cell at 25 oC is 0.98 V? Zn / Zn2+ (0.34 M) // Y1+ (1.1 M) / Y Eo = What is the cathode pH in Co/Co2+(1.00 M)//H1+(x M), H2(1.0 atm)/Pt if E = 0.06 V? Give the pH to 0.01. pH=
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order...
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order to find y2(x) x2y'' − xy' + 17y = 0 ;   y1=xsin(4In(x))
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order...
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). x2y'' − xy' + 26y = 0; y1 = x sin(5 ln(x)).......................................
Problem 3: Find a second solution by reduction of order - nonhomogeneous The given function y1(x)...
Problem 3: Find a second solution by reduction of order - nonhomogeneous The given function y1(x) is a solution of the associated homogeneous equation. Use the reduction of order method to find a solution y(x) = u(x)y1(x) of the nonhomogeneous equation. 1. x^2y'' + xy'−4y = x^3, y1 = x^2 2. 2x^2*y'' + 3xy'−y = 1/x ,    y1 = x^(1/2)
Topic: Differential Equations; reduction order. The indicated fuction y1(x) is a solution of the given differential...
Topic: Differential Equations; reduction order. The indicated fuction y1(x) is a solution of the given differential equation. Use the reduction order technique to find a second solution y2(x). xy'' + y' = 0;    y1= ln(x) Please, explain deeply each part of the solution, and include complete algebraic explanation as well. Otherwise, the answer will be negatively replied.
find the general solution to the second order linear non-homogeneous differential equation (y"/2)-y' +y = cos...
find the general solution to the second order linear non-homogeneous differential equation (y"/2)-y' +y = cos x
Find the general solution using REDUCTION OF ORDER. and the Ansatz of the form y=uy1 =...
Find the general solution using REDUCTION OF ORDER. and the Ansatz of the form y=uy1 = y=ue-x (2x+1)y'' -2y' - (2x+3)y = (2x+1)2 ; y1 = e-x Thank you in advance
The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of...
The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution y2(x) of the homogeneous equation and a particular solution yp(x) of the given nonhomogeneous equation. y'' − 3y' + 2y = x;    y1 = ex y2(x) = e^2x    yp(x) =   
Use ‘Reduction of Order’ to find a second solution y2 to the given ODEs: (a) y′′+2y′+y=0,...
Use ‘Reduction of Order’ to find a second solution y2 to the given ODEs: (a) y′′+2y′+y=0, y1 =xe−x (b) y′′+9y=0, y1 =sin3x (c) x2y′′+2xy′−6y=0, y1 =x2 (d) xy′′ +y′ =0, y1 =lnx
What is the standard reduction potential of the Y3+/Y redox couple if the cell potential of...
What is the standard reduction potential of the Y3+/Y redox couple if the cell potential of the following cell at 25 oC is 1.22 V? Zn / Zn2+ (0.72 M) // Y3+ (1.2 M) / Y Eo =
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT