সমাধান করো:` x d x+y d y+\frac{x d y-y d x}{x^{2}+y^{2}}=0` প্রদত্ত `y=1` যখন `X=1`

solve y d x+x log (y/x) d y-2 x d y=0

y log y d x- x d y=0

solve (x+y) d y+(x-y) d x=0 , y=1 when x=1

solve x^2 d y+(x y+y^2) d x=0 , y=1 when x=1

e^x tan y d x+(1-e^x) (sec ^2 y) d y=0

Which of the following is a homogeneous differential equation? (4 x+6 y+5) d y-(3 y+2 x+4) d x=0 x y d x-(x^3+y^3) d y=0 (x^3+2 y^2) d x+2 x y d y=0 y^2 d x+(x^2-x y-y^2) d y=0

If x^y = y^x , then dy/dx = ......... A) frac{y(x log y - y)}{x(y log x -x)} B) frac{y(y log x - x)}{x(x log y -y)} C) frac{y^2 (1- log x)}{x^2 (1- log y)} D) frac{y(1- log x)}{x(1-log y)}

The solution of (x d x+y dy)/(x dy-y dx)=sqrt((1-x^2-y^2)/(x^2+y^2)) is

The solution of (x d x+y dy)/(x dy-y dx)=sqrt((1-x^2-y^2)/(x^2+y^2)) is

If a x^2 + 2hxy + b y^2 =0, show that ( d^2 y)/(d x^2 ) = y/x