Home
Class 12
MATHS
Show that the given differential equatio...

Show that the given differential equation is homogeneous and solve it:`y' = (x+y)/x`

Answer

Step by step text solution for Show that the given differential equation is homogeneous and solve it:y' = (x+y)/x by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Show that the given differential equation is homogeneous and solve it: x((dy)/(dx)) - y + xsin(y/x) = 0

Show that the given differential equation is homogeneous and solve it: (x^2 + xy)dy = (x^2 + y^2)dx

Show that the given differential equation is homogeneous and solve it: ydx + xlog(y/x)dy - 2x dy = 0

Show that the given differential equation is homogeneous and solve it: (x-y)dy - (x+y)dx = 0

Show that the given differential equation is homogeneous and solve it: {xcos(y/x) + ysin(y/x)}y dx = {ysin(y/x) - xcos(y/x)} xdy

Show that the given differential equation is homogeneous and solve it: (1 + e^(x/y))dx + e^(x/y)(1-(x/y))dy = 0

Show that the given differential equation is homogeneous and solve it: (x^2-y^2)dx+2xydy = 0

Show that the following differential equation is homogeneous and solve it : ((x^2 dy + y(x+y)dx)=0) .

Show that the given differential equations are homogeneous and solve them: {x cos (y/x)+ysin(y/x)}y dx={y sin(y/x)-xcos(y/x)}x dy

Show that the given differential equations are homogeneous and solve them: x^(2)(dy)/(dx)=x^(2)-2y^(2)+xy