Home
Class 12
MATHS
The general solution of the differential...

The general solution of the differential equation `(dy)/(dx)+y\ g^(prime)(x)=g(x)g^(prime)(x)` where `g(x)` is a given function of `x` is `g(x)+log{1+y+g(x)}=C` `g(x)+log{1+y-g(x)}=C` `g(x)-log{1+y-g(x)}=C` None of these

A

`g (x) + log (1+y+g(x))=c`

B

`g (x) + log (1+y-g(x))=c`

C

`g (x) - log (1-y-g(x))=c`

D

`g (x) - log (1-y + g(x))=c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|11 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MODERN PUBLICATION|Exercise RCQs (Questions from Karnataka CET & COMED)|25 Videos

  • ELLIPSE

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|3 Videos

Similar Questions

Explore conceptually related problems

Find the general solution of the differential equation x (dy)/(dx)+2y=x^(2)log x .

The general solution of the D.E f (dy)/(dx)+y g(x).g(x) where g(x) is a function of x is

If f(x) and g(x) are two solutions of the differential equations a (d^2y)/(dx^2)+x^2(dy)/(dx)+y=e^(x), then f(x) - g(X) is the solution of :

Let y(x) be the solution of the differential equaiton : (x log x ) (dy)/(dx) +y=2x log x, (x ge 1) Then y(e) is equal to :

If g is the inverse function of f and f'(x) = sin x then g'(x) =

Let f be function satisfying f(x+y)=f(x)+f(y) and f(x)=x^(2)g(x) , for all x and y, where g(x) is a continuous function. Then f'(x) is :

If the function f(x)= x^(3)+e^(x/2) and g(x) = f^(-1)(x) then the value of g^(')(1) is

If g is the inverse function of f and f^(')(x) = 1/(1+x^(n)) , then g^(')(x) eauals

int f(x) dx = g(x) , then int f(x)g(x) dx =