Solve `log(dy/dx)=4x-2y-2` , given that `y=1` when `x=1.`

Solve (dy)/(dx)=(x+y)^2

Solve (dy)/(dx)=sqrt(4x+2y-1)

Find the particular solution of the differential equation (dy)/(dx) = - 4xy^(2) given that y = 1, when x = 0.

Solve (dy)/(dx)+2y=e^(-x)

Solve e^((dy)/(dx))=x+1, given that when x=0,y=3.

Find the solution of the differential equation log (dy/dx)=2x+3y given y=0 when x=0 .

Find the particular solution of the differential equations log ((dy)/(dx)) = 3x + 4y given that y = 0 when x = 0.

Solve : (x+2y^3)dy/dx=y

Solve : (dy)/(dx)=(4x+y+1)^(2)