The general solution of the differential...

The general solution of the differential equation `(dy)/(dx) = e^(x + y)` is

A

`e^(x) + e^(-y) = C`

B

`e^(x) + e^(y) = C`

C

`e^(-x) + e^(y) = C`

D

`e^(-x) + e^(-y) = C`

Verified by Experts

The correct Answer is:

A

DIFFERENTIAL EQUATIONS
NCERT BANGLISH|Exercise EXERCISE - 9.5|17 Videos
DIFFERENTIAL EQUATIONS
NCERT BANGLISH|Exercise EXERCISE - 9.6|19 Videos
DIFFERENTIAL EQUATIONS
NCERT BANGLISH|Exercise EXERCISE - 9.3|12 Videos
DETERMINANTS
NCERT BANGLISH|Exercise Miscellaneous Exercises on Chapter 4|18 Videos
INTEGRALS
NCERT BANGLISH|Exercise EXERCISE 7.12|44 Videos

Similar Questions

Explore conceptually related problems

The general solution of the differential equation (dy)/(dx)=2^(y-x) is -

The solution of the differential equation (dy)/(dx)=e^(x+y) is

The solution of the differential equation (dy)/(dx)=e^(2x+y) is

The solution of the differential equation (dy)/(dx)=e^(x-y)+1 is -

The solution of the differential equation (dy)/(dx)=e^(x-y)+1 is

The solution of the differenbtial equation (dy)/(dx)=e^(x+y) is

The general solution of the differential equation dy/dx = e^(y+x) + e^(y-x) is

The general solution of the differential equation (dy)/(dx)+1="cosec"(x+y) is -

Find the general solution of the differential equation (dy)/(dx) = (x+1)/(2 - y), (y ne 2) .

Find the general solution of the differential equation (dy)/(dx) = (1 + y^(2))/(1 + x^(2)) .