Question

y''+2y(y')^3=0 ; y(0)=1, y'(0)=1 use u=y' to solve IVP

y''+2y(y')^3=0 ; y(0)=1, y'(0)=1 use u=y' to solve IVP

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

So

Integrating we get

That is,

So

Initial conditions imply

So

That is,

Thus,

So that

And initial condition implies

Required solution is

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 Laplace transform to solve IVP 2y”+2y’+y=2t , y(0)=1 , y’(0)=-1
Use Laplace transform to solve IVP 2y”+2y’+y=2t , y(0)=1 , y’(0)=-1
solve the following IVP: x^2y'' - 5xy' + 5y = 0, y(1) = 3, y'(1) =...
solve the following IVP: x^2y'' - 5xy' + 5y = 0, y(1) = 3, y'(1) = -5
Use the Laplace transform to solve the following IVP y′′ +2y′ +2y=δ(t−5) ,y(0)=1,y′(0)=2, where δ(t) is...
Use the Laplace transform to solve the following IVP y′′ +2y′ +2y=δ(t−5) ,y(0)=1,y′(0)=2, where δ(t) is the Dirac delta function.
Use laplace transform to solve the given IVP y''-2y'-48y=0 y(0)=13 y'(0)=6
Use laplace transform to solve the given IVP y''-2y'-48y=0 y(0)=13 y'(0)=6
Solve the IVP using the Eigenvalue method. x'=2x-3y+1 y'=x-2y+1 x(0)=0 y(0)=1 x'=2x-3y+1 y'=x-2y+1 x(0)=0 y(0)=1 Solve...
Solve the IVP using the Eigenvalue method. x'=2x-3y+1 y'=x-2y+1 x(0)=0 y(0)=1 x'=2x-3y+1 y'=x-2y+1 x(0)=0 y(0)=1 Solve the IVP using the Eigenvalue method. x'=2x-3y+1 y'=x-2y+1 x(0)=0 y(0)=1
13) (15 pts) Solve the given IVP. y ′′ + 2y ′ + 2y = 10...
13) (15 pts) Solve the given IVP. y ′′ + 2y ′ + 2y = 10 sin(2t), y(0) = 1, y′(0) = 0
Solve the IVP: (14y^13 + 8x^3 +42xy^5)dy + (12x^3+24x^2y+7y^6)dx = 0, y(2)=1
Solve the IVP: (14y^13 + 8x^3 +42xy^5)dy + (12x^3+24x^2y+7y^6)dx = 0, y(2)=1
Use undetermined coefficients to solve the following IVP y'' + y = t(1 + sint); y(0)...
Use undetermined coefficients to solve the following IVP y'' + y = t(1 + sint); y(0) = y'(0) = 0.
Use Laplace to solve y" + 2y' + 2y = e-t, y(0) = 0, y'(0) =...
Use Laplace to solve y" + 2y' + 2y = e-t, y(0) = 0, y'(0) = 1
consider ivp given by x^2y" + 2xy' - 6y = 0 w/ y(1) = 1, y'(1)...
consider ivp given by x^2y" + 2xy' - 6y = 0 w/ y(1) = 1, y'(1) = 2 verify y(x) = x^2 and y(x) = x^-3 are solutions use wronskian to show both y(x) above are linearly independent find unique solution to ivp
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT