If you use Runge-Kutta fourth order method, then the problem is "worth" 10 points. If you use the modified or improved Euler (Heun's) method, then the problem is "worth" points. If you use Euler method, then the problem is "worth" points. You only need to carry out a single step of the method of your choice.
Problem: The initial conditions (t):
u(0) = -1
u'(0) = sin(t)
The second-order differential equation is:
u''(t) = 4u(0) + sin(t) * cos(t) * u(t)
Using Euler's Heun method (the modified Euler) or Runge-Kutta method, approximate u(0.1) and u'(0.1).