find the following differential equation `(dy)/(dx)=ysin 2x`, given that `y(0)=1`

Find the particular solution of the following differential equation: (dy/dx) =(1+y^2)/(1+x^2) given that y=√3 when x=1

Solve the following differential equation: (d^2y)/dx^2=e^x+cosx , given that (dy)/(dx)=1=y , when x=0

Solve the following differential equation: (d^2y)/dx^2=e^x+cosx , given that (dy)/(dx)=1=y , when x=0

(dy)/(dx)=ysin2x given, y(0)=1

Solve the following differential equations.(1) y-x dy/dx=0

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

Solve: (dy)/(dx)=ysin2x it being given that y(0)=1.

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