Solve the following initial value proble...

Solve the following initial value problem: `(dy)/(dx)+2y=e^(-2x)sinx ,\ y\ (0)=0`

Text Solution

AI Generated Solution

Topper's Solved these Questions

DIFFERENTIABILITY
RD SHARMA ENGLISH|Exercise All Questions|135 Videos
DIFFERENTIALS, ERRORS AND APPROXIMATIONS
RD SHARMA ENGLISH|Exercise All Questions|107 Videos

Similar Questions

Explore conceptually related problems

Solve the following initial value problem: x(dy)/(dx)+1=0; y(-1)=0

Solve the following initial value problem: (dy)/(dx)+ycotx=2cosx ,\ y\ (pi/2)=0

Solve: (dy)/(dx)+2y=e^(-x)

Solve the following initial value problem: x y(dy)/(dx)=y+2,\ y(2)=0

Solve the following initial value problem: cosy(dy)/(dx)=e^x ,\ y(0)=pi/2

Solve the following initial value problem: (dy)/(dx)=ysin2x ,\ y(0)=1

Solve the following initial value problem: 2x(dy)/(dx)=3y ,\ y(1)=2

Solve the following initial value problem: 2x(dy)/(dx)=5y ,\ y(1)=1

RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions

Solve each of the following initial value problem: y^(prime)+y=e^x ,\ ...
Text Solution
|
Solve the following initial value problem: x(dy)/(dx)-y=logx ,\ y\ (1...
Text Solution
|
Solve the following initial value problem: (dy)/(dx)+2y=e^(-2x)sinx ,\...
Text Solution
|
Solve the following initial value problem: (1+y^2)dx+(x-tan^(-1)y)dy=0...
Text Solution
|
Solve each of the following initial value problem: (dy)/(dx)+\ y\ t a ...
Text Solution
|
Solve the following initial value problem: (dy)/(dx)+ycotx=2cosx ,\ y\...
Text Solution
|
Solve the initial value problem: x(dy)/(dx)+y=xcosx+sinx ,\ y\ (pi/2)=...
Text Solution
|
Solve the following initial value problem: (dy)/(dx)+\ ycotx=4x\ cosec...
Text Solution
|
Solve the following initial value problem: (dy)/(dx)+2ytanx=sinx ; y=0...
Text Solution
|
Solve the initial value problem: (dy)/(dx)-3ycotx=sin2x ; y=2\ w h e n...
Text Solution
|
Solve the following initial value problem: (dy)/(dx)+ycotx=2cosx ,\ y\...
Text Solution
|
Solve the initial value problem: dy=cos x\ (2-y\ cosec x)dx
Text Solution
|
Find the general solution of the differential equation x(dy)/(dx)+2...
Text Solution
|
Find the general solution of the differential equation (dy)/(dx)-y=...
Text Solution
|
Solve the differential equation (y+3x^2)(dx)/(dy)=x .
Text Solution
|
Find the particular solution of the differential equation (dx)/(dy)+xc...
Text Solution
|
The temperature T of a cooling object drops at a rate proportional to ...
Text Solution
|
The slope of the tangent to the curve at any point is reciprocal of tw...
Text Solution
|
The equation of electromotive forces for an electric circuit containin...
Text Solution
|
The surface area of a balloon being inflated changes at a constant rat...
Text Solution
|