• 1.

  draft
  Approximate $f(x)=(a+h)^{m/n}$ by $f(a)+hf^{\prime}(a)$ to 5 decimal places and compare with true value.
• 2.

  draft
  An object moves in a straight line, acceleration given by: $\displaystyle f(t)=\frac{a}{(1+bt)^n}$. The object starts from rest. Find its maximum speed. 
• 3.

  Ready to use
  Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+(a^2+b^2)y=0,\;y(0)=1$ and $y'(0)=c$. 
• 4.

  Ready to use
  Solve for $x(t)$, $\displaystyle\frac{dx}{dt}=\frac{a}{(x+b)^n},\;x(0)=0$
• 5.

  Ready to use
  Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+a^2y=0,\;y(0)=c$ and $y(1)=d$.  (Equal roots example).
• 6.

  Ready to use
  Find the first 3 terms in the Taylor series at $x=c$ for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.
• 7.

  draft
  Determine the long-term behaviour of 1D dynamical systems.
• 8.

  draft
  Fixed points of 2D dynamical systems.
• 9.

  draft
  Fixed points of a 1D dynamical system.
• 10.

  Has some problems
  Transform a second order ODE into 2D non-autonomous and 3D autonomous dynamical systems of ODEs.
• 11.

  Has some problems
  Transform a second order ODE into 2D non-autonomous and 3D autonomous dynamical systems of ODEs.
• 12.

  draft
  Nature of fixed points of a 2D dynamical system.

There are no questions in this group.