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

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

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

Find the particular solution of the differential equation cos x (dy )/(dx) + y = sin x , given that y = 2 when x = 0 .

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

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

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

Find the particular solution of the differential equation (xe^(y//x)+y)dx=xdy , given that y(1)=0 .

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

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

Find the particular solution of the differential equation x(dy)/(dx)=y+x cosec ((y)/(x))=0; given that y=0 when x=1