Home
Class 12
MATHS
Show that the differentia equation (xe^(...

Show that the differentia equation `(xe^(y//x) + y)` dx = x dy is homogeneous. Find the particular solution of this differential equation, given that x = 1 when y = 1.

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    OSWAAL PUBLICATION|Exercise HOMOGENEOUS DIFFERENTIAL EQUATIONS (Long Answer Type Questions - II)|15 Videos

  • DETERMINANTS

    OSWAAL PUBLICATION|Exercise TOPIC-2 SOLUTIONS OF SYSTEM OF LINEAR EQUATIONS (LONG ANSWER TYPE QUESTIONS -II )|24 Videos

  • II PUC (ANNUAL EXAMINATION 2019)

    OSWAAL PUBLICATION|Exercise PART - E|4 Videos

Similar Questions

Explore conceptually related problems

Show that the differential equation [x sin^(2)((y)/(x)) - y]dx+x dy = 0 is homogeneous. Find the particular solution of this differential equation, given that y = (pi)/(4) when x = 1.

Find the particular solution of the differential equation (dy)/(dx) = 2xy^(2) given that y = 1, when x = 0.

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

Show that the differential equation (x - y) (dy)/(dx) = x + y is homogeneous and solved it.

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

Find the particular solution of the differential equations (dy)/(dx)+(2xy)/(1+x^2)=1 when y=0 and x=1

The particular solution of the differential equation cos ((dy)/(dx)) = a (a ne R), y = 1 when x = 0

Find the particular solution of the following differential equaiton given that at x = 2, y = 1 x.(dy)/(dx) + 2y = x^(2), (x != 0)