Question

Check if each of the following ODEs is an exact. If it is not an exact...

Check if each of the following ODEs is an exact. If it is not an exact find an integrating factor to make it an exact. Then solve each of the following ODEs.

(d) (3xy + y2)dx + (x2 + xy)dy = 0

Homework Answers

Answer #1

I am attaching the pictures of my solution. If you find my answer helpful, please press thumbs up button. Thanks

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Check if each of the following ODEs is an exact. If it is not an exact...
Check if each of the following ODEs is an exact. If it is not an exact find an integrating factor to make it an exact. Then solve each of the following ODEs. (c) (6y2 −x2 + 3) dy/dx + (3x2 −2xy + 2) = 0 (d) (3xy + y2)dx + (x2 + xy)dy =
1. Check if each of the following ODEs is an exact. If it is not an...
1. Check if each of the following ODEs is an exact. If it is not an exact find an integrating factor to make it an exact. Then solve each of the following ODEs. (a) (2x + 3)dx + (2y−2)dy = 0 (b) (4y + 2x−5) + (6y + 4x−1)y0 = 0
Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an appropriate...
Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an appropriate integrating factor. (x2 + y2 − 7) dx = (y + xy) dy, y(0) = 1
Solve the following exact DEs (a) y2 + 2xydy dx = 1 x2 (b) 2xey +...
Solve the following exact DEs (a) y2 + 2xydy dx = 1 x2 (b) 2xey + x2ey dy dx = sinx + xcosx (c) x2 dy dx + 2xy = 1 (d) (2x + sinxtany)−cosxsec2 ydy dx = 0. plese break them down in simple steps
test if the equation ((x^4)(y^2) - y)dx + ((x^2)(y^4) - x)dy = 0 is exact. If...
test if the equation ((x^4)(y^2) - y)dx + ((x^2)(y^4) - x)dy = 0 is exact. If it is not exact, try to find an integrating factor. after the equation is made exact, solve by looking for integrable combinations
Consider the following differential equation: dy/dx = −(3xy+y^2)/x^2+xy (a) Rewrite this equation into the form M(x,...
Consider the following differential equation: dy/dx = −(3xy+y^2)/x^2+xy (a) Rewrite this equation into the form M(x, y)dx + N(x, y)dy = 0. Determine if this equation is exact; (b) Multiply x on both sides of the equation, is the new equation exact? (c) Solve the equation based on Part (a) and Part (b).
i)Please state if the following equations are exact or not: (a) (sin(xy) − xy cos(xy))dx +...
i)Please state if the following equations are exact or not: (a) (sin(xy) − xy cos(xy))dx + x^2 cos(xy)dy = 0 (b) (x^3 + xy^2 )dx + (x^2 y + y^3 )dy = 0 ii) Determine if the following equation is exact, and if it is exact, find its complete integral in the form g(x, y) = C: (3(x)^2 + 2(y)^2 )dx + (4xy + 6(y)^2 )dy = 0
Use an integrating factor to reduce the equation to an exact differential equation, then find general...
Use an integrating factor to reduce the equation to an exact differential equation, then find general solution. (x^2y)dx + y(x^3+e^-3y siny)dy = 0
Solve the following equation using integrating factor. y dx + (2x − ye^y) dy = 0
Solve the following equation using integrating factor. y dx + (2x − ye^y) dy = 0
consider the equation y*dx+(x^2y-x)dy=0. show that the equation is not exact. find an integrating factor o...
consider the equation y*dx+(x^2y-x)dy=0. show that the equation is not exact. find an integrating factor o the equation in the form u=u(x). find the general solution of the equation.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT