Find the particular solution of y' = 5 given that when x = 0, y = 2.

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

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

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

Show that the differential equation 2y e^(x/y)dx+(y-2x e^(x/y))dy=0 is homogeneous and find its particular solution, given that, x" "=" "0 wheny" "=" "1 .

Solve the following differential equations : Find the particular solution of : (dy)/(dx)=cos(x+y+2) , given that x=0, y=-2 .

Find the particular solution of (cos x – x sin x +y^2)dx + 2xy dy = 0 that satisfies the initial condition y = 1 when x = pi

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

(ii) Find the particular solution of DE (1+y^2)dx + (1+x^2)dy=0 when x=0, y=0

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