Home
Class 12
MATHS
f any differentisl equation in the form ...

f any differentisl equation in the form
`f(f_(1)(x,y)d(f_(1)(x,y)+phi(f_(2)(x,y)d(f_(2)(x,y))+....=0`
then each term can be intergrated separately.
For example,
`intsinxyd(xy)+int((x)/(y))d((x)/(y))=-cos xy+(1)/(2)((x)/(y))^(2)+C`
Solution of differential equation
`(2xcosy+y^(2)cosx)dx+(2ysinx-x^(2)siny)dy=0` is

A

`x^(2)cosy+y^(2)sinx=C`

B

`xcosy+ysinx=C`

C

`x^(2)cos^(2)y+y^(2)sin^(2)x=C`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Differential Equations Exerise 5 :|2 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|8 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|9 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

If any differentisl equation in the form f(f_(1)(x,y)d(f_(1)(x,y)+phi(f_(2)(x,y)d(f_(2)(x,y))+....=0 then each term can be intergrated separately. For example, intsinxyd(xy)+int((x)/(y))d((x)/(y))=-cos xy+(1)/(2)((x)/(y))^(2)+C The solution of the differential equation (xy^(4)+y)dx-xdy=0 is

If any differentisl equation in the form f(f_(1)(x,y)d(f_(1)(x,y)+phi(f_(2)(x,y)d(f_(2)(x,y))+....=0 then each term can be intergrated separately. For example, intsinxyd(xy)+int((x)/(y))d((x)/(y))=-cos xy+(1)/(2)((x)/(y))^(2)+C The solution of the differential equation xdy-ydx=sqrt(x^(2)-y^(2))dx is

Find the particular solution of the differential equation (3xy+y^(2))dx+(x^(2)=xy)dy=0;f or x=1,y=1

differentiation OF term F(xy) +Y.y(x.y)

Differentiation OF term F(xy) +Y.y(x.y)

The solution of differential equation yy'=x((y^(2))/(x^(2))+(f((y^(2))/(x^(2))))/(f'((y^(2))/(x^(2))))) is

If f(x)=cos(log x), then f(x)f(y)-(1)/(2)[f((x)/(y))+f(xy)]=

If f(x)=cos(log x), then f(x)f(y)-(1)/(2)[f((x)/(y))+f(xy)]=