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`

y(xy+e^x)dx-e^xdy=0

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

Solution of x dy/dx+y=xe^x is (A) xy=e^x(x+1)+C (B) xy=e^x(x-1)+C (C) xy=e^x(1-x)+C (D) xy=e^y(y-1)+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 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

The solution of the equation (e^x+1)ydy+(y+1)dx=0 , is (A) e^(x+y)=C(y+1)e^x (B) e^(x+y)=C(x+1)(y+1) (C) e^(x+y)=C(y+1)(1+e^x) (D) e^(xy)=C(x+y)(e^x+1)

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

y = c_(1) e^(2x) +c_(2)e^(-2x)