Home
Class 12
MATHS
The differential equations , find the p...

The differential equations , find the particular solution satisfying the given condition:`(dy)/(dx)-y/x+cose c(y/x)=0; y=0`when x = 1

Text Solution

Verified by Experts

`(dy)/(dx)=y/x+cosecy/x=f(x,y)`
let y/x=t
`(dy)/(dx)=t+(xdt)/(dx)`
`t+(xat)/(dx)=t+cosect`
`(xdt)/(dx)=cosect`
`intsintdt=ln|x|+c`
`-cost=ln|x|+c`
given x=1 and y=0
...
Promotional Banner

Similar Questions

Explore conceptually related problems

The differential equations,find a particular solution satisfying the given condition: (dy)/(dx)=y tan x;y=1 when x=0

The differential equations,find the particular solution satisfying the given condition: (x+y)dy+(xy)dx=0;y=1 when x=1

The differential equations,find a particular solution satisfying the given condition: (dy)/(dx)-3y cot x=sin2x;y=2 when x=(pi)/(2)

The differential equations,find a particular solution satisfying the given condition: cos((dy)/(dx))=a(a in R);y=1

The differential equations,find a particular solution satisfying the given condition: x(x^(2)-1)(dy)/(dx)=1;y=0 when x=2

The differential equations,find the particular solution satisfying the given condition: quad 2xy+y^(2)-2x^(2)(dy)/(dx)=0;y=2 when x=1

The differential equations,find the particular solution satisfying the given condition: x^(2)dy+(xy+y^(2))dx=0y=1 when x=1

The differential equations,find a particular solution satisfying the given condition: (dx)/(dy)+2y tan x=sin x;y=0 when x=(pi)/(3)

The differential equations,find a particular solution satisfying the given condition: (1+x^(2))(dy)/(dx)+2xy=(1)/(1+x^(2));y=0 when x=1

The differential equations,find the particular solution satisying the given condition: [x sin^(2)((y)/(x))-y]dx+xdy=0;y=(pi)/(4) when x=1