Question

Let y’’ + 5y’ + 6y = 0 a) Show that for any constants A and...

Let y’’ + 5y’ + 6y = 0

a) Show that for any constants A and B, y(x) = Ae^(-3x) + Be^(-2x) solves the differential equation.

b) For what values of A and B will
y(x) =Ae^(-3x) + Be^(-2x) solve the initial value problem y’’ + 5y’ + 6y = 0, y(0) = 0, and y’(0) = 9?
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
Solve the following initial value problem. y(4) − 6y′′′ + 5y′′  =  2x, y(0)  =  0,...
Solve the following initial value problem. y(4) − 6y′′′ + 5y′′  =  2x, y(0)  =  0, y′(0)  =  0, y′′(0)  =  0, y′′′(0)  =  0. (not using Laplace)
Solve the given initial-value problem. y'' + 5y' − 6y = 12e2x,    y(0) = 1, y'(0) =...
Solve the given initial-value problem. y'' + 5y' − 6y = 12e2x,    y(0) = 1, y'(0) = 1
solve the given initial value problem y''-5y'+6y=0, y(0)=3/5, y'(0)=1
solve the given initial value problem y''-5y'+6y=0, y(0)=3/5, y'(0)=1
Solve the initial-value problem y''+5y'+6y=0, y(0)=1, y′(0)=−1, using Laplace transforms. When writing your answer limit yourself...
Solve the initial-value problem y''+5y'+6y=0, y(0)=1, y′(0)=−1, using Laplace transforms. When writing your answer limit yourself to showing: (i) The equation for L(y); (ii) The partial fraction decomposition; (iii) The antitransforms that finish the problem.
Find the solution of the initial value problem y′′+5y′+6y=0, y(0)=11 and y′(0)=-25
Find the solution of the initial value problem y′′+5y′+6y=0, y(0)=11 and y′(0)=-25
Solve Differential equation by variation of parameters method. y"-5y'+6y=e^x  
Solve Differential equation by variation of parameters method. y"-5y'+6y=e^x  
(differential equations): solve for x(t) and y(t) 2x' + x - (5y' +4y)=0 3x'-2x-(4y'-y)=0 note: Prime...
(differential equations): solve for x(t) and y(t) 2x' + x - (5y' +4y)=0 3x'-2x-(4y'-y)=0 note: Prime denotes d/dt
Differential Equations. Solve the following IVP. Y''(Double Prime) + 6Y'(Prime)+5Y =0, Y'(Prime)(0) =0, Y(0)=1
Differential Equations. Solve the following IVP. Y''(Double Prime) + 6Y'(Prime)+5Y =0, Y'(Prime)(0) =0, Y(0)=1
(b) Solve the separable differential equation                   y'= (7e^-3x+2x^2-xcosx)/-6y^3             &nb
(b) Solve the separable differential equation                   y'= (7e^-3x+2x^2-xcosx)/-6y^3                                              (c) Solve the IVP              x(1-siny)dy=(cosx-cosy-y)dx .                              y(π/2)=0
Solve the given initial-value problem. 5y'' + y' = −6x, y(0) = 0, y'(0) = −25...
Solve the given initial-value problem. 5y'' + y' = −6x, y(0) = 0, y'(0) = −25 The answer I got is 155-155e^(-1/5)x-3x^2-30x
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT