Question

Differential Equations problem If y1= e^-x is a solution of the differential equation y'''-y''+2y=0 . What...

Differential Equations problem

If y1= e^-x is a solution of the differential equation y'''-y''+2y=0 . What is the general solution of the differential equation?
Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
If y1= e^-3x is a solution of the differential equation y "'+ y" - 4y' +...
If y1= e^-3x is a solution of the differential equation y "'+ y" - 4y' + 6y = 0. What is the general solution of the differential equation?
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
Oridinary Differential equations: given that y=sinx is a solution of y(4)+2y'''+11y''+2y'+10y=0, find the general solution of...
Oridinary Differential equations: given that y=sinx is a solution of y(4)+2y'''+11y''+2y'+10y=0, find the general solution of the DE.
Consider the differential equation x^2y′′ − 3xy′ − 5y = 0. Note that this is not...
Consider the differential equation x^2y′′ − 3xy′ − 5y = 0. Note that this is not a constant coefficient differential equation, but it is linear. The theory of linear differential equations states that the dimension of the space of all homogeneous solutions equals the order of the differential equation, so that a fundamental solution set for this equation should have two linearly fundamental solutions. • Assume that y = x^r is a solution. Find the resulting characteristic equation for r....
a) Find the general solution of the differential equation y''-2y'+y=0 b) Use the method of variation...
a) Find the general solution of the differential equation y''-2y'+y=0 b) Use the method of variation of parameters to find the general solution of the differential equation y''-2y'+y=2e^t/t^3
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
1) find a solution for a given differential equation y1'=3y1-4y2+20cost ->y1 is not y*1 & y2...
1) find a solution for a given differential equation y1'=3y1-4y2+20cost ->y1 is not y*1 & y2 is not y*2 y2'=y1-2y2 y1(0)=0,y2(0)=8 2)by setting y1=(theta) and y2=y1', convert the following 2nd order differential equation into a first order system of differential equations(y'=Ay+g) (theta)''+4(theta)'+10(theta)=0
differential equations find the solution to the initial value problem y’’ + y(x^2) = 0 y(0)...
differential equations find the solution to the initial value problem y’’ + y(x^2) = 0 y(0) = 0 y’(0) = 0
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...
Initial value problem : Differential equations: dx/dt = x + 2y dy/dt = 2x + y...
Initial value problem : Differential equations: dx/dt = x + 2y dy/dt = 2x + y Initial conditions: x(0) = 0 y(0) = 2 a) Find the solution to this initial value problem (yes, I know, the text says that the solutions are x(t)= e^3t - e^-t and y(x) = e^3t + e^-t and but I want you to derive these solutions yourself using one of the methods we studied in chapter 4) Work this part out on paper to...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT