The following differential equation , m (d^2 y)/(dt^2 )+6.1dy/dt+90.2y=1.3cos⁡(3.4t) represents the motion of a spring. When a 10kg mass is attached to the spring and released from a starting point 0.1m from the original point .the plotted results of displacement over time give an expected...

Solve the following differential equations: a) dy/dx=24x(3x^2+9)^2 b) dy/dx=2sin(3x+infinity) infinity is a constant I have done question (a) and got 216x^5+1296x^3+1944x as the answer. I don't know if this is correct. I have no clue how to do (b).

I have the following part to a problem that I am struggling with. (see diagram attachment) The water tank has a nozzle with an unknown diameter at a depth of 6.75m. The level of the tank will stay the same depth by being toped up. What I am struggling with is calculating what diameter the...

In classical mechanics, we tend to consider objects as partcles with translational motion (or rigid bodies when considering rotational motion); that is to say that we treat them as if they possess no dimensions, and thus as if all forces act through 1 point. (the centre of mass) Obviously using...