The solution of e^xcot y dx+(1-e^x)cosec²ydy=0 is

The solution of (x+y+1) dy/dx=1 is

The solution of x cos(y/x)(y dx+x dy)=y sin y/x(x dy – y dx) is

A family of curves has the differential equation (xy)dy/dx = 2y² - x². Then the family of curves is

A= sin 78⁰- sin 18⁰+ cos 132⁰, B= cos 12⁰+ cos 84⁰+ cos 132⁰+ cos 156⁰ and C= (sin 75⁰+sin 15⁰)/ (sin 75⁰+cos 15⁰) then by arranging in the ascending order

The solution of e^xtan y dx+(1-e^x)sec²ydy=0 is

If the equation λx² – 5xy + 6y² + x -3y=0, represents a pair of straight lines, then their point of intersection is

If A and B are two square matrices such that B=A^-1 BA, then (A+B)² is equal to

The solution of y dx-x dy+log x dx=0 is

The solution of (12x+5y-9)dx+(5x+2y-4)dy=0 is