Home
Class 12
MATHS
The general solution of (dy)/(dx)=2xe^(x...

The general solution of `(dy)/(dx)=2xe^(x^(2)-y)` is

A

`e^(x^(2)-y)=C`

B

`e^(-y)+e^(x^(2))=C`

C

`e^(y)=e^(x^(2))+C`

D

`e^(x^(2)+y)=C`

Text Solution

AI Generated Solution

To solve the differential equation \(\frac{dy}{dx} = 2x e^{x^2 - y}\), we will follow these steps: ### Step 1: Rewrite the equation We start with the given equation: \[ \frac{dy}{dx} = 2x e^{x^2 - y} \] We can rewrite the right-hand side as: ...
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

The general solution of (dy)/(dx) = 1 - x^(2) -y^(2) + x^(2) y^(2) is

The general solution of (dy)/(dx) =2ytan x+ tan ^(2)x is:

The general solution of (dy)/(dx)+(sqrt(1+y^(2)))/(sqrt(1+x^(2)))=0

Find the solution of (dy)/(dx)=2^(y-x)

Solution of x(dy)/(dx)+y=xe^(x) , is

The general solution of (dy)/(dx)+y tan x=sec x is

Find the general solution of (dy)/(dx)-3y=sin 2x

The general solution of x((dy)/(dx))+(logx)y=x^(-1/2logx) is

Solution of (dy)/(dx)+2x y=y is

Find the general solution of y^(2)dx+(x^(2)-xy+y^(2))dy=0

Home
Profile