Home
Class 12
MATHS
Solve : (x+1) dy/dx - ny = e^(x) (x+1) ^...

Solve :` (x+1) dy/dx - ny = e^(x) (x+1) ^(n+1)`

Text Solution

Verified by Experts

The correct Answer is:
`y=(e^(x) +c)( x+1)^(n)`
which is the required general solution of the given differential equation .
Promotional Banner

Topper's Solved these Questions

  • LINEAR DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise MULTIPLE CHOICE TYPE QUSETIONS|6 Videos

  • LINEAR DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Short Answer Type Questions|37 Videos

  • LIMIT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type)|2 Videos

  • LINEAR INEQUATIONS

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTION FOR COMPETITIVE EXAMS (Assertion- Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

dy/dx - n/xy = e^(x)x^(n)

(1 + x ) dy/dx - xy = 1 - x

Solve : (1-x^2)(dy)/(dx)-xy=1 .

The integrating factor of the differential equation (x+1)(dy)/(dx)-ny=e^(x)(x+1)^(n+1) is -

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

or , solve: (1-x^2) dy/dx - xy=1 .

Solve ( 1+e^(x).y) dx + xe^(x) dy = 0

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

Solve: (dy)/(dx) = 1-x+y-xy

Solve: cos^(-1)((dy)/(dx)) = x+y .