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Grade: 12

                        

Find the particular solution.(x²-y²)dx+2xy dy=0.y=1,when x=1

2 years ago

Answers : (2)

Arun
24738 Points
							Its a homogenous differential equation of the first order and degree.Find an expression for dy/dx.Substitute y=ax, and substitute everything, taking a as a function of x. It should convert into a variable seperable equation and can then be solved easily.
						
2 years ago
Sanjali
23 Points
							Divide through out by x^2 , then it will be in the form of a homogeneous diff. Eqn = dy/dx=( u^2)-1 / 2uWhere u= y/x.Now proceed as usual .Also dy/dx= u+ du/dx.du/dx= (u^2 -  1 / 2u )-u.Solve and continue.Hope it helps😃
						
2 years ago
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