Home
Class 12
MATHS
The solution of the differential equatio...

The solution of the differential equation `y dx +(x=x^2y) dy=0` is

Text Solution

Verified by Experts

`ydx+(x+x^(2)y)dy=0`
or `(xdy+ydx)+x^(2)ydy=0`
or `d(xy)+x^(2)ydy=0`
or `(d(xy))/(xy)^(2)+1/ydy=0`
Integrating, we get `-1/xy+logy=c`.
Promotional Banner

Similar Questions

Explore conceptually related problems

The solution of the differential equation y dx +(x +x^2 y) dy=0 is

The solution of the differential equation y dx +(x +x^2 y) dy=0 is

The solution of the differential equation y dx+(x+x^(2)y)dy=0 is -

The solution of the differential equation y dx + (x+ x^(2)y) dy = 0 is

General solution to the differential equation y dx + (x+x^2y) dy = 0 is

Solution of the differential equation y dx+(x-y^(2))dy=0 is

The solution of the differential equation y^(2)dx- x^(2)dy = 0 is

(i) The degree of the differential equation (d^(2)y)/(dx^(2))+e^(dy//dx)=0 is… (ii) The degree of the differential equation sqrt(1+((dy)/(dx))^(2))="x is"....... (iii) The number of arbitrary constant in the general solution of differential equation of order three is.. (iv) (dy)/(dx)+(y)/(x log x)=(1)/(x) is an equation of the type.... (v) General solution of the differential equation of the type is givven by... (vi) The solution of the differential (xdy)/(dx)+2y=x^(2) is.... (vii) The solution of (1+x^(2))(dy)/(dx)+2xy-4xy^(2)=0 is... (viii) The solution of the differential equation ydx+(x+y)dy=0 is .... (ix) Genergal solution of (dy)/dx)+y=sin x is.... (x) The solution of differential equation cot y dx=xdy is.... (xi) The integrating factor of (dy)/(dx)+y=(1+y)/(x) is.....

The general solution of the differential equation (y dx - x dy)/y = 0 is:

The solution of the differential equation x+y(dy)/(dx)=2y is