Home
Class 12
MATHS
Solve the differential equation (dy)/(dx...

Solve the differential equation `(dy)/(dx) = y + int_(0)^(1)y(x)dx`, given that the value of `y` is `1`, when `x = 0`.

Text Solution

AI Generated Solution

To solve the differential equation \[ \frac{dy}{dx} = y + \int_0^1 y(x) \, dx \] with the initial condition \( y(0) = 1 \), we will follow these steps: ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - H (Multiple True-False Type Questions)|2 Videos
  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J|12 Videos
  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos

Similar Questions

Explore conceptually related problems

Solve the differential equation: (x+y)(dy)/(dx)=1

Solve the differential equation: (dy)/(dx)+1=e^(x+y)

Solve the differential equation (x+y)dy=(x-y)dx

solve the differential equation (y + x)(dy)/(dx)=y-x

Solve the differential equation y^(2)(dx)/(dy) + x = 1 .

Solve the differential equation: y^2+(x+1/y)(dy)/(dx)=0\

Solve the differential equation: sin^(-1)((dy)/(dx)) = x+y .

Solve the following differential equation: (dy)/(dx)=(e^x+1)y

Solve the differential equation x^(2)(y+1)(dy)/(dx)+y^(2)(x+1)=0

Solve the differential equation (2 + x) dy = (1 + y) dx