Solve (2xlogx–xy)dy + 2ydx = 0

Solve (2xlogx–xy)dy + 2ydx = 0

Question

Solve (2xlogx–xy)dy + 2ydx = 0

Solution

Problem

Solve (2xlogx–xy)dy + 2ydx = 0

 

Topic

Exact differential equations

Type 1 Questions

  1. Solve dy/dx+(x+3y-4)/(3x+9y-2)=0
  2. Solve dy/dx+(y cosx +siny +y)/(sinx + xcosy +x)=0
  3. Solve ye^xy dx+(xe^xy +2y)dy=0
  4. Solve (1+e^(x/y))dx+e^(x/y) (1-x/y)dy=0
  5. Solve (y^2 e^(xy^2) + 4x^3)dx+(2xy e^(xy^2)-3y^2)dy=0
  6. Solve 2x/y^3 dx+(y^2-3x^2/y^4) dy=0

 

Type 2 Questions

  1. Solve (4xy+3y^2–x)dx+x(x+2y)dy=0
  2. Solve (x^2+y^2+x)dx+xydy=0
  3. Solve y(2xy+1)dx–xdy=0
  4. Solve (2xlogx–xy)dy + 2ydx = 0

 

This Post Has 2 Comments

  1. Anuj January 24, 2024 Reply

    Sir at last it should be integration of mdx=integration2y/x but u took integration2/x

    1. admin January 27, 2024 Reply

      Hi Anuj
      Thanks for visiting ! Your feedback is much appreciated. I have uploaded the correct post and removed the old one.

      Thanks,
      Regards,
      Admin

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