Determine the largest interval in which the initial value problem (t − 3)y ′′ − ty′ + 6y = sin t has unique solution.
y(−3) = 2, y′ (−3) = 1
1. The state of decay of radium is proportional to the amount present at any time Suppose that 400 mg of radium are currently present, and the amount decreases after every hour. After 1 hour, it decreases to 295. How much radium will be left after 2.5 hours if the decrease in number is constant?
The state of decay of radium is proportional to the amount present at any time.
Suppose that 400 mg of radium are currently present, and the amount decreases
after every hour. After 1 hour, it decreases to 295. How much radium will be left after
2.5 hours if the decrease in number is constant?
Describe in words the region of R^3 represented by the equations or inequalities x^2 +y^2+z^2>2x
Proving single solution to an initial value problem
or each I need to prove that there is a single solution defined on
Question on a differential equation
Let a solution of the differenzial equation:
Proof that the function:
Limit for of a solution to an ODE
Consider the Cauchy problem: