Home
Class 12
MATHS
For each of the differential equations ,...

For each of the differential equations , find the particular solution satisfying the given condition :
11.`( x + y) dy + ( x - y) dx = 0, y = 1` when x = 1

Text Solution

Verified by Experts

The correct Answer is:
`log (x^(2) + y^(2)) + 2 tan^(-1) (y)/(x) = (pi)/(2) + log 2`
Promotional Banner

Similar Questions

Explore conceptually related problems

For each of the differential equations , find the general solution : 1. (dy)/(dx) + y = 2cos x

Find the particular solution of the differential equaiton (x-sin y)dy + (tan y)dx = 0 , given that y = 0 when x = 0.

Find the particular solution of the differential equation : x^(2)dy = y(x+y)dx = 0 , when x = 1, y = 1.

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

Find the particular solution of the following differential equaiton : (x+1)(dy)/(dx) = 2e^(-y) - 1, y = 0 when x = 0.

Find the particular solution of the following differential equation : (dy)/(dx) - y = cos x for x = 0, y = 1.

Find the particular solution of the differential equations log ((dy)/(dx)) = 3x + 4y given that y = 0 when x = 0.