Question

Solve the second order differential equation y'' + 6y' + 9y = e^(-3t) + t^(3)

Solve the second order differential equation

y'' + 6y' + 9y = e^(-3t) + t^(3)

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
use the laplace transform to solve the following equation y”-6y’+9y = (t^2)(e^(3t)) y(0)=2 y’(0)=17
use the laplace transform to solve the following equation y”-6y’+9y = (t^2)(e^(3t)) y(0)=2 y’(0)=17
y”+6y’+9y=e^-3t
y”+6y’+9y=e^-3t
Consider the second-order homogeneous linear equation y''−6y'+9y=0. (a) Use the substitution y=e^(rt) to attempt to find...
Consider the second-order homogeneous linear equation y''−6y'+9y=0. (a) Use the substitution y=e^(rt) to attempt to find two linearly independent solutions to the given equation. (b) Explain why your work in (a) only results in one linearly independent solution, y1(t). (c) Verify by direct substitution that y2=te^(3t) is a solution to y''−6y'+9y=0. Explain why this function is linearly independent from y1 found in (a). (d) State the general solution to the given equation
Solve the differential equation: a) y'= t^2y^3 / t^3+6 b) y'= x(e^x^2 +2) / 6y^2 ;...
Solve the differential equation: a) y'= t^2y^3 / t^3+6 b) y'= x(e^x^2 +2) / 6y^2 ; y(0) =1
Find the general solution of the differential equation y′′+9y=11sec2(3t), 0<t<π6.
Find the general solution of the differential equation y′′+9y=11sec2(3t), 0<t<π6.
Consider the differential equation y”+5y’+6y=f(t). Write the form of the particular solution if f(t) is the...
Consider the differential equation y”+5y’+6y=f(t). Write the form of the particular solution if f(t) is the following. Do not solve. (a) f(t)= 5t*e^(-2t) (b) f(t)= t^2*sin(2t) (c) f(t)= t + 1 (d) f(t)= 2t^2*e^(-3t) (e) f(t)= 4t^2+3t
Consider the differential equation y”+5y’+6y=f(t). Write the form of the particular solution if f(t) is the...
Consider the differential equation y”+5y’+6y=f(t). Write the form of the particular solution if f(t) is the following. Do not solve. (a) f(t)= 5t*e^(-2t) (b) f(t)= t^2*sin(2t) (c) f(t)= t + 1 (d) f(t)= 2t^2*e^(-3t) (e) f(t)= 4t^2+3t
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  
Solve the differential equation y'' - y' - 6y = 3sin3x
Solve the differential equation y'' - y' - 6y = 3sin3x
Consider the differential equation y′′+ 9y′= 0.( a) Let u=y′=dy/dt. Rewrite the differential equation as a...
Consider the differential equation y′′+ 9y′= 0.( a) Let u=y′=dy/dt. Rewrite the differential equation as a first-order differential equation in terms of the variables u. Solve the first-order differential equation for u (using either separation of variables or an integrating factor) and integrate u to find y. (b) Write out the auxiliary equation for the differential equation and use the methods of Section 4.2/4.3 to find the general solution. (c) Find the solution to the initial value problem y′′+ 9y′=...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT