Solve the differential equation : dy/dx - x^3 -5x = 0

First rearrange the equation dy/dx = x3 + 5x Then move the dx to the RHS of the equation dy = ( x3+ 5x)dxThen integrate both sides, with respect to y on the LHS and with respect to x on the RHS (don't forget the constant of integration!)y = x4/4 + 5x2/2 + CReminder: even though we integrate twice, we only need one constant in our solution, as a constant plus another constant is also a constant.

OM
Answered by Olivia M. Maths tutor

4462 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A tunnel has height, h, (in metres) given by h=14-x^2 where x is the horizontal distance from the centre of the tunnel. Find the cross sectional area of the tunnel. Also find the maximum height of a truck passing through the tunnel that is 4m wide.


"Why is Mathematics important, I wont use any of it when I start work?"


The line y = (a^2)x and the curve y = x(b − x)^2, where 0<a<b , intersect at the origin O and at points P and Q. Find the coordinates of P and Q, where P<Q, and sketch the line and the curve on the same axes. Find the tangent at the point P.


How do you go about differentiating a^x functions?


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