Question

For any value of c, it is easy to check that the function is a solution of the equation. Find the value of c for which the solution satisfies the initial condition?

Answer 1

To find the value of c for which the solution satisfies the initial condition, substitute the known values into the equation and solve for c. Then substitute c back into the equation to find the value of u.

Step-by-step explanation:

To find the value of c for which the solution satisfies the initial condition, we need to solve the quadratic equation. The equation is given by:

u = 0.500c - 0.750c^2

Since we are looking for a solution that satisfies the initial condition, we can substitute the known values of u' and v into the equation and solve for c. Once we find the value of c, we can substitute it back into the equation to find the corresponding value of u.