Home
Class 12
MATHS
What is the solution of y'=1+x+y^(2)+xy^...

What is the solution of `y'=1+x+y^(2)+xy^(2),y(0)=0`?

A

(a) `y^2 =exp(x+x^2/2)-1`

B

(b) `y^2=1+c exp(x+x^2/2)`

C

(c) `y=tan (c + x+x^2)`

D

(d) `y=tan (x+x^2/2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The solution of (dy)/(dx) -y=e^(x) , y(0) = 1 , is

The solution of y'-y = 1 , y(0)=1 is given by y(x) =

The general solution of y^(2)dx+(x^(2)-xy+y^(2))dy=0 , is

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

What is the solution of the differential equation (dy)/(dx)=xy+x+y+1 ?

What is the solution of the differential equation (dy)/(dx) + sqrt((1-y^(2))/(1-x^(2))) = 0 ?

Let y(x) be a solution of (1+x^2)"dy"/"dx"+2xy-4x^2=0 and y(0)=-1 Then y(1) is equal to