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

4380 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the point of intersection of the lines y=2x-7 and 4y-2=3x


Use the substitution u=x^2-2 to find the integral of (6x^3+4x)/sqrt( x^2-2)


a) Find the indefinite integral of sec^2(3x) with respect to x. b) Using integration by parts, or otherwise, find the indefinite integral of x*sec^2(3x) with respect to x.


Find the gradient of the curve y=2sinx/x^3 at the point x=


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:

© 2025 by IXL Learning