Solve the differential equation : `(1 + e^(2x))dy + (1 + y^2)e^(2x) dx = 0` given that `y = 1 when x = 0`

Find the particular solution of the differential equation (1+e^(2x))dy + (1+y^2)(e^x)dx = 0 given that y = 1 when x= 0

Solve the differential equation : x (1 + y^2) dx - y (1 + x^2) dy = 0 given that y = 0 when x = 1

Solve the differential equation : (1 + y^2) (1 + log x)dx + x dy = 0 given that y = 1 when x = 1

Solve the differential equation: (dy)/(dx)+2y=6e^x

Solve the differential equation: (dy)/(dx)+3y=e^(-2x)

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

Solve the following differential equations (e^(x) + 1) dy + ( y + 1) e^(x) dx =0