Solve the differential equation dx/dt=-6*x , given when t=0 x=7.

You start by seperating the variables giving,

(1/x)*dx=(-6)*dt

you then integrate both sides with respect to the variables,

ln(x)=-6*t+c

you then subsitute in the given conditions to find 'c',

ln(7)=0+c    therefore c=ln(7)

ln(x)=-6t+ln(7)

taking exponential of each element gives:

x=exp(-6t)+7

Answered by Lucy C. Maths tutor

7774 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the gradients of y = 3x^2 − (2/3) x + 1 at x = 0


Use integration by parts to find the integral of ln x by taking ln x as the multiple of 1 and ln x


How can I improve my score?


Find the derivative of the function y=3x^2e^(2x)sin(x).


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