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

4524 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate the function f(x) = 2x^3 + (cos(x))^2 + e^x


What is an easy way to remember how sin(x) and cos(x) are differentiated and integrated?


How to differentiate x^2 + y^2 - 2x + 6y = 5


Differentiate y = 7(x)^2 + cos(x)sin(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:

© 2026 by IXL Learning