Home
Class 12
MATHS
Let y(x) is the solution of differential...

Let `y(x)` is the solution of differential equation `x(dy)/(dx)+y=x log_ex` and `2y(2)=log_e 4-1`. Then `y(e)` is equal to (A) `e^2 /2` (B) `e/2` (C) `e/4` (D) `e^2/4`

Answer

Step by step text solution for Let y(x) is the solution of differential equation x(dy)/(dx)+y=x log_ex and 2y(2)=log_e 4-1. Then y(e) is equal to (A) e^2 /2 (B) e/2 (C) e/4 (D) e^2/4 by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

Let y = y(x) be the solution of the differential equation x dy/dx+y=xlog_ex,(xgt1)." If " 2y(2)=log_e4-1," then "y(e) is equal to

The solution of differential equation (dy)/(dx)=e^(x-y)+x^(2)e^(-y) is

If y=f(x) is the solution of differential equation , e^y((dy)/(dx)-2)=e^(3x) such that f(0)=0 , then f(2) is equal to :

The solution of the differential equation (dy)/(dx) = e^(x-y) (e^(x)-e^(y)) is

solve the differential equation (dy)/(dx)=e^(x+y)+x^2e^y

Let y=f(x) is a solution of differential equation e^(y)((dy)/(dx)-1)=e^(x) and f(0)=0 then f(1) is equal to

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

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

Solve the following differential equations. (dy)/(dx )=e^(x-y)+x^2e^(-y)

The integrating factor of the differential equation (dy)/(dx)(x(log)_e x)+y=2(log)_e x is given by

Home
Profile