Show that the differential equation (x−y)dxdy=x+2yis homogeneous and solve it.
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
Solution of differential equation x2=1+(xy)−1dydx+(xy)−2(dydx)22!+(xy)−3(dydx)33!+......... is
What is the solution of the differential equationdxdy+xy−y2=0?
A curve y=f(x)
passes through the origin. Through any point (x,y)
on the curve, lines are drawn parallel to the co-ordinate axes. If the curve divides the area formed by these lines and co-ordinates axes in the ratio m:n,
find the curve.
The particular solution of the differential equation sin−1(d2ydx2−1)=x, wherey=dydx=0 whenx=0, is
Find the order and degree of the following differential equation:
If y+xdydx=xϕ(xy)ϕ′(xy) then ϕ(xy) is equation to
The curve with the property that the projection of the ordinate on the normal is constant and has a length equal to a is