Home
Class 12
MATHS
The solution of y dx-xdy+3x^2 y^2 e^(x^3...

The solution of` y dx-xdy+3x^2 y^2 e^(x^3)` dx = 0 is

Text Solution

Verified by Experts

The correct Answer is:
`x/y+e^(x^(3))=c`
`ydx-xdy+3x^(2)y^(2)e^(x^(3))xd=0`
or `(ydx-xdy)/(y^(2))+3x^(2)e^(x^(3))dx=0`
or `intd(x/y)+intd(e^(x^(3)))=c`
or `x/y+e^(x^(3))=c`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    CENGAGE|Exercise Exercise 10.6|7 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE|Exercise Exercise 10.7|5 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE|Exercise Exercise 10.4|6 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise|337 Videos

  • DIFFERENTIATION

    CENGAGE|Exercise Numerical Value Type|3 Videos

Similar Questions

Explore conceptually related problems

The solution of ydx-xdy+3x^(2)y^(2)e^(x^(3))dx=0 is

The solution of ydx-xdy+3x^(2)y^(2)e^(x^(3))dx=0 is

Knowledge Check

  • The solution of (y-3x^2)dx +xdy=0 is

    A
    `y=sin x + 1/x^2+c`
    B
    `y=cos x -1/x^2 +c `
    C
    `y=x^2+c/x`
    D
    `y=sqrtx+c/x`

  • Solution of ydx-xdy +y^(2)sin x dx =0 is equal to

    A
    `y= -x cos x +cx`
    B
    `x=y cos x +cy`
    C
    `y=x cos x +cx`
    D
    `x= -y cos x +cy`

  • The solution of (dy/dx)=e^(x-y)+x^2e^(-y) is

    A
    `e^(-y) =e^x+(x^3)/3+C`
    B
    `e^y =e^x +(x^3)/3+C`
    C
    `e^(-y) =e^(-x) +(x^3)/3+C`
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    The solution of xdy-ydx+x^2e^x dx=0 is

    The solution of (xdy)/(x^2+y^2)=(y/(x^2+y^2)-1)dx is

    The solution of (y - (xdy)/dx)= 3 (1-x^(2)(dy)/(dx)) is

    The solution of xdy+ydx+2x^(3)dx=0 is

    The solution of (x^3dx+yx^2dy)/sqrt(x^2+y^2)=ydx-xdy is

    Home
    Profile