If `y+d/(dx)(x y)=x(sinx+logx),fin dy(x)dot`

d/dx( e^(x+5logx))

d/(dx) (e^(x+5logx)) is ………………………. .

Suppose f(x)=(d)/(dx)(e^(x)+2) . Find int(f(x)-sinx)dx .

Solve the differential equation (x dy - y dx) y sin ((y)/(x)) = (y dx + x dy) x cos ((y)/(x)) .

Solve the following differential equations: (dy)/(dx)=1+x+y+x y (ii) y-x(dy)/(dx)=a(y^2+(dy)/(dx))

Which of the following is not the differential equation of family of curves whose tangent form an angle of pi/4 with the hyperbola xy= c^2 ? (a) dy/dx=(x-y)/(x+y) (b)dy/dx=(x)/(x-y) (c)dy/dx=(x+y)/(x-y) (d)N.O.T.

Differentiate: (logx)^x+x^(logx) with respect to xdot

The solution of differential equation x sec((y)/(x))(y dx + x dy)="y cosec"((y)/(x))(x dy - y dx) is

The degree of the differential equation (d^(2)y)/(dx^(2)) x = sqrt(y + (dy)/(dx)) is :