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

The general solution of the differential equation `dy/dx=e^(x-y)` is a)`e^y+e^x=C` b)`e^-y+e^-x=C` c)`e^y-e^x=C` d)`e^-y-e^-x=C`

A

`e^y+e^x=C`

B

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

C

`e^y-e^x=C`

D

`e^-y-e^-x=C`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|5 Videos
  • DETERMINANTS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|116 Videos
  • INTEGRALS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|122 Videos

Similar Questions

Explore conceptually related problems

y=2e^(2x)-e^(-x) is a solution of the differential equation

Find the general solution of the following differential equation '(e^x + e^-x)dy - (e^x - e^-x)dx = 0

The general solution of the differential equation (dy)/(dx) = e^(y) (e^(x) + e^(-x) + 2x) is a) e^(-y) = e^(x) - e^(-x) + x^(2) + C b) e^(-y) = e^(-x) - e^(x) - x^(2) + C c) e^(-y) = -e^(-x) - e^(x) - x^(2) + C d) e^(y) = e^(-x) + e^(x) + x^(2) + C

The general solution of the DE dy/dx= e^x-y is

Find dy/dxifxy=e^((x-y))

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

Find the general solution of the following differential equation e^x tan y dx + (1-e^x)sec^2 y dy =0

Solve dy/dx+1=e^(x+y) .

Find the general solution of the differential equation (x+1)(dy)/(dx) = 2 e^-y - 1 , given that y = 0 when x = 0.