Home
Class 12
MATHS
(dy)/(dx)=log(x+1)...

`(dy)/(dx)=log(x+1)`

Text Solution

Verified by Experts

The correct Answer is:
`y=(x+1)log(x+1)-x+c`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise PART -B|14 Videos

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise PART -C|29 Videos

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise EXERCISE 11|24 Videos

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion -Reason Type )|2 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Sample Questions for competitive Exams ( E Assertion-Reason Type )|1 Videos

Similar Questions

Explore conceptually related problems

If x^(logy)=logx , prove that, (x)/(y).(dy)/(dx)=(1-logx log y)/((log x)^(2))

The integrating factor of the differential equation x log x(dy)/(dx)+2y=log x is -

If x^(y) =e^(x-y) , prve that , (dy)/(dx) =(logx)/((log ex)^(2)) .

If y=x^(y^(x)) , prove that, (dy)/(dx)=(y log y(1+x logx log y))/(x logx(1-x logy)) .

If y=(x^(2))/(2)+(x)/(2) sqrt(x^(2)+1)+log sqrt(x+sqrt(x^(2)+1)) , prove that, 2y=x (dy)/(dx)+log((dy)/(dx))

An integrating factor of the differential equation (dy)/(dx)(x log x)+2y=log x is

If y^(x)=e^(y-x)" prove that, " (dy)/(dx)=((logey)^(2))/(log y) .

Find (dy)/(dx) : y = log _(2)x

If y=a^(x^(a^(x^(…oo)))) , show that, (dy)/(dx)=(y^(2)logy)/(x(1-y log x log y)) .

The integrating factor of the differential equation (dy)/(dx)(x(log)_e x)+y=2(log)_e x is given by