dx/dt=-5x/2 t>=0 when x=60 t=0

dx/dt=-5x/2 Int(x, dx)=Int(-5/2, dt) ln(x)=-5t/2+c x=60 when t=0 ln(60)=c ln(x)=ln(60)-5t/2 x=eln(60)-5t/2 x=60/e5t/2

FD

Related Maths A Level answers

All answers ▸

Differentiate f(x) = 2xlnx.


Express 3sin(2x) + 5cos(2x) in the form Rsin(2x+a), R>0 0<a<pi/2


How would you go about integrating a function which has an exponential and a cos/sin term?


Integrate the following between 0 and 1: (x + 2)^3 dx