Home
Class 12
MATHS
A particular solution of the initial val...

A particular solution of the initial value differential equation
`log{:dy/dx=3x+4y,y(0)=0`

A

`16y=3(4x-3+3e^(4x))`

B

`3e^(-4y)-4e^(3x)=1`

C

`4e^(3x)+3e^(-4y)=7`

D

`16y=-3(4x+3-3e^(4x))`

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. AIEEE/JEE Main Papers|38 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos

  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|6 Videos

Similar Questions

Explore conceptually related problems

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

How many arbitrary constants are there in the particular solution of the differential equation ( dy )/( dx ) =- 4 xy^2 ,y(0) =1

Knowledge Check

  • A particular solution of the initial differential equation log{:(dy)/(dx)=7x+8y,y(0)=0 is

    A
    `15y=8e^(-8y)+7e^(-7y)`
    B
    `15x=7e^(-8y)+8e^(7x)`
    C
    `8e^(-8y)+7e^(7x)=15`
    D
    `7e^(-8y)+8e^(7x)=15`

  • The particular solution of the differential equation x dy+2y dx=0, at x=2, y=1 is

    A
    xy=4
    B
    `x^(2)y=4`
    C
    `xy^(2)=4`
    D
    `x^(2)y^(2)=4`

  • The particular solution of the differential equation log ((dy)/(dx)) = x , when x = 0 , y = 1 is …..

    A
    `y = e^(x) + 2`
    B
    `y = - e^(x)`
    C
    `y = - e^(x) + 2`
    D
    `y = e^(x)`

    • Similar Questions

    Explore conceptually related problems

    The particular solution of the differential equation (dy)/(dx)+(x)/(y)=0;y(1)=1 is

    Find the particular solution of the differential equation x(dy)/(dx)=y+x cosec ((y)/(x))=0; given that y=0 when x=1

    Find the particular solutions of the following differential equations : (dx)/(x+2) + (dy)/(y+2) = 0 , " when " x =1 , y =2

    The solution of log{:(dy)/(dx)=3x+4y,y(0)=0 is

    Particular solution of the differential equation xy(dy)/(dx)=x^(2)+2y^(2),y(1)=0, is

    Home
    Profile