Question

(3) solve the homogeneous equation x^2dydx= x^2+ xy+ y^2

(3) solve the homogeneous equation x^2dydx= x^2+ xy+ y^2

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Using the substitution

Integrating both sides we get

Substituting v=y/x in the equation again we get

Note - Post any doubts/queries in comments section.

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 Homogeneous differential equation (7 y^2 + 1 xy)dx - 1 x^2 dy = 0...
Solve the Homogeneous differential equation (7 y^2 + 1 xy)dx - 1 x^2 dy = 0 (a) A one-parameter family of solution of the equation is y(x) = (b) The particular solution of the equation subject to the initial condition y(1) =1/7.
solve differential equation ((x)2 - xy +(y)2)dx - xydy = 0 solve differential equation (x^2-xy+y^2)dx -...
solve differential equation ((x)2 - xy +(y)2)dx - xydy = 0 solve differential equation (x^2-xy+y^2)dx - xydy = 0
Use the method for solving homogeneous equations to solve the following differential equation. (9x^2-y^2)dx+(xy-x^3y^-1)dy=0 solution is...
Use the method for solving homogeneous equations to solve the following differential equation. (9x^2-y^2)dx+(xy-x^3y^-1)dy=0 solution is F(x,y)=C, Where C= ?
solve differential equation (x^2)y'' - xy' +y =2x
solve differential equation (x^2)y'' - xy' +y =2x
Solve the differential equation y^' − xy = e^x   y(0) = 2
Solve the differential equation y^' − xy = e^x   y(0) = 2
4. Solve the homogeneous equation xdy = (y + 2)dx given y(3) = 10.
4. Solve the homogeneous equation xdy = (y + 2)dx given y(3) = 10.
Solve the equation. (2x^3+xy)dx+(x^3y^3-x^2)dy=0 give answer in form F(x,y)=c
Solve the equation. (2x^3+xy)dx+(x^3y^3-x^2)dy=0 give answer in form F(x,y)=c
Solve the IVP: , y(0)=3. 2) Solve the DE: . y' = xy^2/ (x^2 +1)
Solve the IVP: , y(0)=3. 2) Solve the DE: . y' = xy^2/ (x^2 +1)
Solve the DE (x^2)y' + xy = (x^3)(y^2) , subject to y(0) = -0.15
Solve the DE (x^2)y' + xy = (x^3)(y^2) , subject to y(0) = -0.15
Solve the differential equation by using integrating factors. xy' = 4y − 6x^2 y(x)=?
Solve the differential equation by using integrating factors. xy' = 4y − 6x^2 y(x)=?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT