If `x+y=3e^2t h e d/(dx)(x^y)=0forx=` `e^2` b. `e^e` c. `e` d. `2e^2`

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

solve the differential equation (dy)/(dx)=e^(x+y)+x^2e^y

The differentiation of cotx with respect to x is -cosec^2x i.e. d/(dx)(cotx)=-cos e c^2x

The solution of the differential equation (dy)/(dx)+1=e^(x+y), is a. (x+y)e^(x+y)=0 b. (x+C)e^(x+y)=0 c. (x-C)e^(x+y)=1 d. (x+C)e^(x+y)+1=0

The solution of the differential equation dy/dx=e^(x-y)+x^2e^(-y) is (A) y=e^x+1/2 x^2+c (B) e^(y-x)=1/3 x^3+c (C) e^y = e^x +1/3 x^3+c (D) none of these

The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2 is(A) e^(-x) (B) e^(-y) (C) 1/x (D) x

The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2 is(A) e^(-x) (B) e^(-y) (C) 1/x (D) x

The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2 is (A) e^(-x) (B) e^(-y) (C) 1/x (D) x

Solve the differential equation (dy)/(dx)=e^(2x-y)+x^(2)*e^(-y) .

The general solution of the differential equation (dy)/(dx)=e^(x+y) is (A) e^x+e^(-y)=C (B) e^x+e^y=C (C) e^(-x)+e^y=C (D) e^(-x)+e^(-y)=C