Home
Class 12
MATHS
Find the general solution of the differe...

Find the general solution of the differential equation `(dy)/( dx) + 3y = e^(-2x)`.

Text Solution

Verified by Experts

The correct Answer is:
`y = e^(-2x) + Ce^(-3x)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION II)|4 Videos
  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION III)|20 Videos
  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION V)|7 Videos
  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (PREVIOUS YEAR.S BOARD QUESTIONS FOR PRACTICE )|45 Videos
  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|98 Videos

Similar Questions

Explore conceptually related problems

Find the general solution of the differential equation (dy)/(dx)=y/x

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

Knowledge Check

  • 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`
  • Similar Questions

    Explore conceptually related problems

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

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

    Find the general solution of the differential equation: x(dy)/(dx) + 2y = x^2 (x ne 0)

    Find the general solution of the differential equation (dy)/( dx) + sqrt( ( 1- y^2)/( 1 - x^2) ) = 0

    Solve the differential equation: (dy)/(dx)+3y=e^(-2x)

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

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