Home
Class 12
MATHS
If 2x^2dy + (e^y-2x)dx=0 and y(e)=1 then...

If `2x^2dy + (e^y-2x)dx=0 and y(e)=1` then find the value of `y(1)`

A

`ln2`

B

2

C

0

D

ln3

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

x^2dy+(y-1/x)dx=0 at y(1)=1 then find the value of y(1/2)

If K is constant such that xy + k = e ^(((x-1)^2)/(2)) satisfies the differential equation x . ( dy )/( dx) = (( x^2 - x-1) y+ (x-1) and y (1) =0 then find the value of K .

Let y(x) be the solution of the differential equation 2x^2dy + (e^y-2x)dx = 0, x>0. If y(e) = 1, then y(1) is equal to :

If y satisfies (dy)/(dx)=(e^(y))/(x^(2))-(1)/(x) and y(1)=0 then the value of e^(y(2)) is

if ( dy )/(dx) =1 + x +y +xy and y ( -1) =0 , then the value of ( y (0) +3 - e^(1//2))

If (dy)/(dx)=e^(x+y) and it is given y=1 for x=1 then find the value of y for x=-1

If y = y (x) is the solution of the differential equation (5 + e^(x))/(2 + y) * (dy)/(dx) + e^(x) = 0 satisfying y(0) = 1 , then a value of y (log _(e) 13) is :

Let y = y(x) be the solution of the differential equation e^(x)sqrt(1-y^(2))dx+((y)/(x))dy=0,y(1)=-1 . Then the value of (y(3))^(2) is equal to :

If (x^2+y^2)dy=xydx and y(1)=1 . If y(x_0)=e then x_0 is equal to (A) sqrt(2)e (B) sqrt(3)e (C) 2e (D) e