Web Reference: Here we turn to one common use for antiderivatives that arises often in many applications: solving differential equations. A differential equation is an equation that relates an unknown function and one or more of its derivatives. 6.2 Solutions of Initial-Value Problems Use LT to solve: y ″ + p (t) y ′ + q (t) y = g (t) y (0) = y 0, y ′ (0) = y 0 ′ To solve an initial value problem, integrate the given differential equation to find the general solution. Then, use the initial conditions provided to determine the specific constants of integration. An initial value problem (IVP) is a specific problem in differential equations. Here is the formal definition. An initial value problem is a differen...
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