Home
Class 12
MATHS
Solve: (dy)/(dx) = (yf^(')(x)-y^(2))/(...

Solve:
`(dy)/(dx) = (yf^(')(x)-y^(2))/(f(x))`

Text Solution

Verified by Experts

We have, `(dy)/(dx) = (yf^(')(x)-y^(2))/(f(x))`
`therefore yf^(')(x)dx-f(x)dy=y^(2)dx`
`rArr (yf^(')(x)dx-f(x)dy)/(y^(2))=dx`
`d[f(x)/(y)]=dx`
On integrating, we get
`(f(x))/(y) = x+c` or `f(x) = (x+c)y`
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 (dy)/(dx)=(x+y)^2

Solve: (dy)/(dx)+y/x = e^x

Solve: x(dy)/(dx)+3y = x^2

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

Solve : (dy)/(dx)=(x-3y)/(3x+y)

Solve: (dy)/(dx) = 1-x+y-xy

solve (dy)/(dx)=(x+y)^(1/3)

Solve: (dy)/(dx) = (2x+3y)/(3x+2y)

Solve : x(dy)/(dx) - y = x

Solve (dy)/(dx)+ 3y = e^(-2x)