Question

Given the differential equation z'(t)=-x⁴-1x²+4x²+0.25x-0.0375. sketch the graph.

Answer 1

To sketch the graph of the given differential equation, we need to find the value of z(t) at different time points and plot them on a graph.

Step-by-step explanation:

To sketch the graph of the given differential equation, we need to find the value of z(t) at different time points.

Let's assume t = 0. Plugging in t = 0 into the equation, we get
`z'(0) = -0 - 0 + 0 + 0 - 0.0375 = -0.0375.`

Similarly, we can calculate the values of z(t) for different values of t and plot them on a graph to get the sketch of the graph.