Question

Given the following equations y´(x)+y(x)=e-x; 2y´(x)+y(x)=e-x ; y´(x)+2y(x)=e-x a. Use the integration factor and find your...

Given the following equations

y´(x)+y(x)=e-x; 2y´(x)+y(x)=e-x ; y´(x)+2y(x)=e-x

a. Use the integration factor and find your solutions

b. Discuss the trend behavior of the solutions and (x) as follows:
1. compare the graphs of y (x) with the graphs of F (x)
2. Compare the graphs of y (x) with respect to the coefficients of the differential equations

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
Find the general solutions of the given systems of differential equations in the following problem. x'=3x-2y+et...
Find the general solutions of the given systems of differential equations in the following problem. x'=3x-2y+et y'=x
Find the general solution of the following nonhomogeneous equations: • y '' − 2y ' +...
Find the general solution of the following nonhomogeneous equations: • y '' − 2y ' + 5y = 25x ^2 + 12 • y ''− 3y ' + 2y = 10 sen 2x • y '' − 2y ' + y = e^x + e^−2x • y '' − y = x sen x • y '' − 6y ' + 9y = 5e^x sen x • y '' + y ' + y + 1 = sen x +...
(Part 1) Find all of the solutions of the given differential equations: a.) y' = -2y...
(Part 1) Find all of the solutions of the given differential equations: a.) y' = -2y (answer should be y = -(1 / ln2) * ln(t * ln(2) + c)) (Part 2) Find the solution of the IVP: b.) y' = -2y3, y(0) = 0 c.) y' = 1 + cos(y), y(0) = pi / 2 (answer should be y(t) = 2arctan(1 + t)) d.) y' = sqrt(1 - y2), y(0) = 0 (Hint: y' > 0) Please show work!
Solve the following second order differential equations: (a) Find the general solution of y'' − 2y'...
Solve the following second order differential equations: (a) Find the general solution of y'' − 2y' = sin(3x) using the method of undetermined coefficients. (b) Find the general solution of y'' − 2y'− 3y = te^−t using the method of variation of parameters.
Find the complete solution to the following differential equations. a) y''+2y'-y=10 b) 2y''- y = 3x^2
Find the complete solution to the following differential equations. a) y''+2y'-y=10 b) 2y''- y = 3x^2
Use the Laplace transform to solve the given system of differential equations. dx/dt=x-2y dy/dt=5x-y x(0) =...
Use the Laplace transform to solve the given system of differential equations. dx/dt=x-2y dy/dt=5x-y x(0) = -1, y(0) = 6
Differential Equations Use principle of superposition to find a particular solution x^2y''- xy+y =2x^3
Differential Equations Use principle of superposition to find a particular solution x^2y''- xy+y =2x^3
Differential Equations: Use the Laplace transform to solve the given initial value problem: y′′ −2y′ +2y=cost;...
Differential Equations: Use the Laplace transform to solve the given initial value problem: y′′ −2y′ +2y=cost; y(0)=1, y′(0)=0
Consider the following group of differential equations y´+y=F(x), where F(x)= x2, x3,...,xn F(x)= sen x F(x)=...
Consider the following group of differential equations y´+y=F(x), where F(x)= x2, x3,...,xn F(x)= sen x F(x)= [x] Resolve taking into account the above: a. Find the solution for each of the differential equations b. Discuss the trend approach between y (x) and f (x) c. Describe characteristics of the pattern that constitutes the expression of the solution y (x) and discuss it in the light of any known method Please help me to solve!
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?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT