MATH - Differential Equation

Solve with solution the question below:

1).

\f\fThe solution of x y' =1-2xy with initial value y(1)=2 is given by O 1+ x y(x) = X O y(x) = 1 + x2 X O 1 + x y(x) = x2 O 1 + x2 y(x) = x2\f\fSolve the given differential equation by using an appropriate substitution. dy xy 2 dx y3- x3 ; y(1) =2 O V3 + 3x 3In x =8x3| O V3 + x3(3In| x| - 8) =0 O 8x3-y3 x=e O all of the above