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.

Answered by Olivia M. Maths tutor

3829 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is ln(10)-ln(5)?


Express cos(x) + (1/2)sin(x) in terms of a single resultant sinusoidal wave of the form Rsin(x+a)


A curve has equations: x=2sin(t) and y=1-cos(2t). Find dy/dx at the point where t=pi/6


How do I differentiate (e^(2x)+1)^3?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences