Question

use reduction of order to find a second independent solution to t2y''+2ty'-2y=0 with the first solution...

use reduction of order to find a second independent solution to t2y''+2ty'-2y=0 with the first solution being given by y1(t)=t.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
let y1=e^x be a solution of the DE 2y''-5y'+3y=0 use the reduction of order method to...
let y1=e^x be a solution of the DE 2y''-5y'+3y=0 use the reduction of order method to find a second linearly independent solution y2 of the given DE
Verify that the given function is a solution and use Reduction of Order to find a...
Verify that the given function is a solution and use Reduction of Order to find a second linearly independent solution. a. x2y′′ −2xy′ −4y = 0, y1(x) = x4. b. xy′′ − y′ + 4x3y = 0, y1(x) = sin(x2).
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 a second solution dx **Please do not solve this via the formula--please use the REDUCTION METHOD ONLY. y2(x)= ?? Given: y'' + 2y' + y = 0;    y1 = xe−x
Using reduction of order process with the inital substitution of y2=y1(u) to find a second solution...
Using reduction of order process with the inital substitution of y2=y1(u) to find a second solution for the differential equation y"+(3/t)y'-(3/t^2)y=0 given that y1=t is a solution
Use the method of reduction of order to find the general solution of the following differential...
Use the method of reduction of order to find the general solution of the following differential equation. (t^2) d^2y/dt^2 + t dy/dt + (t^2-1/4) y = 0, y1(t) = sin t/sqrt(t)
Find the general solution to the differential equation t^2y'' - 2ty' + 2y = 4
Find the general solution to the differential equation t^2y'' - 2ty' + 2y = 4
find the general solution of the given differential equation 1. y''−2y'+2y=0 2. y''+6y'+13y=0 find the solution...
find the general solution of the given differential equation 1. y''−2y'+2y=0 2. y''+6y'+13y=0 find the solution of the given initial value problem 1. y''+4y=0, y(0) =0, y'(0) =1 2. y''−2y'+5y=0, y(π/2) =0, y'(π/2) =2 use the method of reduction of order to find a second solution of the given differential equation. 1. t^2 y''+3ty'+y=0, t > 0; y1(t) =t^−1
Follow the steps below to use the method of reduction of order to find a second...
Follow the steps below to use the method of reduction of order to find a second solution y2 given the following differential equation and y1, which solves the given homogeneous equation: xy" + y' = 0; y1 = ln(x) Step #1: Let y2 = uy1, for u = u(x), and find y'2 and y"2. Step #2: Plug y'2 and y"2 into the differential equation and simplify. Step #3: Use w = u' to transform your previous answer into a linear...
The function y1(t) = t is a solution to the equation. t2 y'' + 2ty' -...
The function y1(t) = t is a solution to the equation. t2 y'' + 2ty' - 2y = 0, t > 0 Find another particular solution y2 so that y1 and y2 form a fundamental set of solutions. This means that, after finding a solution y2, you also need to verify that {y1, y2} is really a fundamental set of solutions.
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). y'' + 36y = 0;    y1 = cos(6x) y2 = 2) 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...