If integrating factor of `x(1-x^2)dy+(2x^2y-y-a x^3)dx=0` is `e^(intp dx ,)` then `P` is equal to

The integrating factor of (1+y^(2)) dx = (tan^(-1)y-x) dy is -

Integrating factor of sec^2y dy/dx+x tany=x^3

(x^3+3x y^2)dx+(y^3+3x^2y)dy=0

y(2x y+e^x)dx-e^x dy=0

if x^y . y^x =16 then dy/dx at (2,2) is equal to

Assertion: Integrating factor of (dy )/(dx) + y = x^2 is e^x Reason: Integrating factor of ( dy )/(dx) + P( x) y= Q (x) is e^(int p(x) dx)

Integrating factor of the differential equation (x+1)(dy)/(dx)-y=e^(3x)(x+1)^(2) , is

The integrating factor of differential equation (dy)/(dx)+y=(1+y)/(x)"is"

If 2^(x)+2^(y)=2^(x+y) then (dy)/(dx) is equal to

If x=sint,y=sinpt , prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^2 y=0 .