Search over 10,000 free study notes

We first find the complementary function by guessing y=e^(kx). Substituting this into the equation d^2y/dx^2 + (3/2)dy/dx + y = 0. we find k^2 + (3/2)k + 1 = 0 which factorises into (k+2)(k+1/2). So our c...

1. Label your equations 1 and 2.
2. Look to eliminate one of your variables to create a third equation with only one variable.
3. To do this multiply the first equation by 2 to obtain: 6x +...

Learning and implementing quotations are and always will be a necessary evil in academic writing. However, whether it be from the primary source or a secondary critic, they are invaluable in supporting an...

The sinoatrial (SA) node is a group of specialized cells which sit in the wall of the right atrium. The SA node sets the pace of your heart and is therefore called your pacemaker. SA node sets this pace b...

The tangent is the straight line passing through x=1, touching the curve only at that point. For x=1, y=(4+1)^3=125 Using the chain rule we obtain dy/dx = 38x(4x^2+1)^2. To then get the gradient ...