If `y+d/(dx)(x y)=x(sinx+logx),find y.

If y+d/(dx)(x y)=x(sinx+logx), y(x)dot ?

d/dx(x^n.logx)

Find differentiation of y w.r.t x. (i) y=(sin x)/x , (ii) y=(4x^(3))/e^(x)

Find differentiation of y w.r.t x. (i) y=(sin x)/x , (ii) y=(4x^(3))/e^(x)

STATEMENT-1 : intx^(x)(1+logx)dx=x^(x)+C and STATEMENT-2 : (d)/(dx)x^(x)=x^(x)(1+logx)

Statement 1: If e^(xy)+ln(xy)+cos(xy)+5=0, then (dy)/(dx)=-y/x . Statement 2: d/(dx)(xy)=0,y is a function of x implies(dy)/(dx)=-y/x .

The solution of the differential equation (dy)/(dx)=(x^2+x y+y^2)/(x^2), is a.) tan^(-1)(x/y)=logy+C b.) tan^(-1)(y/x)=logx+C c.) tan^(-1)(x/y)=logx+C d.) tan^(-1)(y/x)=logy+C

d/dx(x^2+e^x+logx+sinx)

Solution of the differential equation (dy)/(dx)+y/x=sinx is a. x(y+cosx)=sinx+C b. x(y-cosx)=sinx+C c. x(y+cosx)=cos x+C d. None of these

What is the degree of the following differential equation? 5x\ ((dy)/(dx))^2-(d^2\ y)/(dx^2)-\ 6y=logx