Home
Class 12
MATHS
Solve (dy)/(dx)=(x+y)^2...

Solve `(dy)/(dx)=(x+y)^2`

Text Solution

AI Generated Solution

To solve the differential equation \(\frac{dy}{dx} = (x + y)^2\), we can use a substitution method. Here are the steps: ### Step 1: Substitution Let \(v = x + y\). Then, we can express \(y\) in terms of \(v\): \[ y = v - x \] ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    CENGAGE ENGLISH|Exercise EXAMPLES|18 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISES 10.1|6 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

  • DIFFERENTIATION

    CENGAGE ENGLISH|Exercise Archives|14 Videos

Similar Questions

Explore conceptually related problems

Solve: (dy)/(dx)=(2y)/x

Solve (dy)/(dx)=(x-2y+5)/(2x+y-1)

Solve (dy)/(dx)=(x+2y+3)/(2x+3y+4)

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

Solve (dy)/(dx)=(2x-y+1)/(x+2y-3)

Solve (dy)/(dx)=(2x-y+1)/(x+2y-3)

(2) Solve (dy)/(dx)=(x+y+4)/(x+y-6)

Solve: (dy)/(dx)=(1+y^2)/(1+x^2)

Solve: (dy)/(dx)=cos(x+y)

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