Home
Class 12
MATHS
Solve xsin(y/x)dy=(ysin(y/x)-x)dx....

Solve `xsin(y/x)dy=(ysin(y/x)-x)dx`.

Text Solution

Verified by Experts

`(siny/x)(dy)/(dx) = (y/x.siny/x-1)`
Put `y=vx`
`rArr sinv(v+x(dv)/(dx))=(vsinv-1)`
or `sinv(xdv)/(dx) =-1`
or `intsinvdv=-int(dx)/(x)`
`rArr cosv=log_(e)x+c`
`rArr cosy/x=log_(e )x+c`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Archives|14 Videos

Similar Questions

Explore conceptually related problems

Solve : {xcos(y/x)+ysin(y/x)}ydx={ysin(y/x)-xcos(y/x)}xdy

Solve (dy)/(dx)=(x+y)^2

Solve: (x+tany)dy = sin 2y dx.

Solve x^2((dy)/(dx))+y=1

Solve : (xdy-ydx)ysin""(y)/(x)=(ydx+xdy)xcos""(y)/(x) .

Solve [x sin^(2)((y)/(x)) - y] dx + x dy = 0,

Solve: (dy)/(dx) = (siny+x)/(sin2y-xcosy)

Solve x((dy)/(dx))=y(logy-logx+1)

Solve : (dy)/(dx)=(y(xcos""(y)/(x)+ysin""(y)/(x)))/(x(ysin""(y)/(x)-xcos""(y)/(x)))

Solve [xsin^2(y/x)-y]dx+x dy=0; y=pi/4 when x=1.