The solution of `y(2xy+e^x)dx-e^xdy=0` is (A) `x^2+ye^(-x)=C` (B) `xy^2+e^(-x)=C` (C) `x/y+e^(-x)/x^2=C` (D) `x^2+e^x/y=C`

The general solution of the differential equation e^x dy + (y e^x + 2x) dx = 0 is(A) xe^y+x^2=C (B) xe^y+y^2=C (C) ye^x+x^2=C (D) ye^y+x^2=C

The solution of the equation ydx-xdy=x^2ydx is (A) y^2e^(-x^2/2)=C^2x^2 (B) y=Cxe^(x^2/2) (C) x^2=C^2y^2e^(x^2) (D) ye^(x^2)=x

The solution of y dx-xdy+3x^2 y^2 e^(x^3) dx = 0 is

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

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

The general solution of the differential equation (d^2y)/dx^2=e^(-3x) is (A) y=9e^(-3x)+C_1x+C_2 (B) y=-3e^(-3x)+C_1x+C_2 (C) y=3e^(-3x)+C_1x+C_2 (D) y=e^(-3x)/9+C_1x+C_2

int(x-1)\ e^(-x)\ dx is equal to x e^x+C (b) x e^x+C (c) -x e^(-x)+C (d) x e^(-x)+C

The general solution of the differential equation (y dx-x dy)/y=0 is(A) x y = C (B) x=C y^2 (C) y = C x (D) y=C x^2

The general solution of the differential equation e^x" "dy" "+" "(y" "e^x" "+" "2x)" "dx" "=" "0 is (A) x""e^y+x^2=C (B) x""e^y+y^2=C (C) y""e^x+x^2=C (D) y""e^y+x^2=C

The general solution of the differential equation (y dx-x dy)/y=0 is (A) x y" "=" "C (B) x=C y^2 (C) y" "=" "C x (D) y=C x^2