Find the particular solution of
`v(dv)/(dx)=n^(2)x`, given v=u when x=a

Find the particular solution of (dy)/(dx)=e^(4x-3y) , given y=0 when x=0

Find the particular solution of (x-y)(dx+dy)=dx-dy, given y=1, when x=0

Find the particular solution of cos((dy)/(dx))=a , given that y=2 when x=0

Find the particular solution of e^(dy/dx)=x+1 , given that when x=0,y=3 .

Find the particular solution of y(1-x^2)(dy)/(dx)+x(1-y^2)=0 , given that y=0 when x=0

Find the particular solution of : x(x^2-1)dy/dx=1,y=0 when x=2 .

Find the particular solution of the following : (dy)/(dx)= y tan x , given that y=1 when x=0 .

Find the particular solution of this differential equation (x^(2)dy)/(dx)-xy=1+cos((y)/(x)),x!=0 Find the particular solution of this differential equation,given that when x=1,y=(pi)/(2)

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

Find the particular solution of the differential equation (dy)/(dx)=e^x when it is given that y=1 for x=0.