y' = (2x)/(y+1). Solve for y.

y' = dy/dx = (2x)/(y+1) Separate x's and y's in this case.

y + 1 dy = 2x dx Now integrate both sides.

(y2)/2 + y = (2x2)/ 2 + C  Don't forget the constant. 

(y2)/2 + y = x2 + C 

DM
Answered by Daniel M. Maths tutor

4594 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Chris claims that, “for any given value of x , the gradient of the curve y=2x^3 +6x^2 - 12x +3 is always greater than the gradient of the curve y=1+60x−6x^2” . Show that Chris is wrong by finding all the values of x for which his claim is not true.


Calculate the volume of revolution generated by the function, f(x) = (3^x)√x, for the domain x = [0, 1]


Express 3cos(x)+4sin(x) in the form Rsin(x+y) where you should explicitly determine R and y.


What exactly IS differentiation?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning