If [x³/(2x-1)(x+2)(x-3)]=A+(B/[2x-1])+(C/[x+2])+(D/[x-3]) then A is equal to

If a,b,c ≠ 0 and belong to the set { 0,1,2,3,................9 then log₁₀[(a+10b+10²c)/(10^-4a+10^-3b+10^-2c)] is equal to

If x is real, then the minimum value of [(x²-x+1)/(x²+x+1)], is

x = cos θ, y = sin 5θ  ==>(1-x²) (d²y/dx²)  - x(dy/dx) =

The solution of x log x (dy/dx)+y=2 log x is

The solution of (x²y³+x²)+(y²x³+y²)dy=0 is

The solution of y² dx+(3xy-1)dy=0 is

If y=(x²-1)ⁿ, then (x²-1)y_n+2+2xy_n+1=

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

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