The general solution of the differential equation, y′+yϕ′(x)=ϕ(x).Φ′(x)=0, where ϕ(x), is a known function, is Where, c is an arbitrary constant.
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
Write the differential equation obtained by eliminating the arbitrary constant C in the equation representing the family of curves xy=Ccosx˙
Let a solution y = y(x) of the differential equation xx2−1dy−yy2−1dx=0, satisfy y(2)=32
Find the particular solution of the differential equation(tan−1y−x)dy=(1+y2)dx,given that when x=0, y=0.
Write the solution of the differential equation dxdy=2−y
If log (x2+y2)=tan−1 (xy),then show that dxdy=x−yx+y
Find the particular solution of the following differential equation:dxdy=1+x2+y2+x2y2,given that y=1 when x=0.
Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:x+y=tan−1y : y2yprime+y2+1=0
Show that the given differential equation is homogeneous and solve each of them.x2dxdy=x2−2y2+xy