Home
Class 12
MATHS
Find the particular solution of the diff...

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

Text Solution

Verified by Experts

The correct Answer is:
`4e^(3x) + 3e^(-4y) - 7 = 0`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT GUJARATI|Exercise EXERCISE - 9.1|12 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT GUJARATI|Exercise EXERCISE - 9.2|12 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE|18 Videos
  • DETERMINANTS

    NCERT GUJARATI|Exercise Miscellaneous Exercises on Chapter 4|18 Videos
  • INTEGRALS

    NCERT GUJARATI|Exercise EXERCISE 7.12|41 Videos

Similar Questions

Explore conceptually related problems

Find the particular solution of the differential equation (dy)/(dx) = - 4xy^(2) given that y = 1, when x = 0.

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

Find a particular solution of the differential equation (x - y)(dx + dy) = dx - dy given that y = -1, when x = 0.(Hint : put x - y = t)

Find the general solution of the differential equation (dy)/(dx) - y = cosx.

Particular solution of differential equation e^((dy)/(dx))=x,y(1)=3,xgt0 is

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

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

Find a particular solution of the differential equation (dy)/(dx) + y cot x = 4x cosec x ( x ne 0) , given that y = 0 when x = (pi)/(2) .

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

Find the particular solution of the differential equation (dy)/(dx) + y cot x = 2x + x^(2) cot x( x ne 0) given that y = 0 when x = (pi)/(2) .