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initial condition

[initial condition|initial condition] refers to a condition like y(0) = 5, which requires finding a constant C such that -cosx + C equals 5.

Definition

initial condition refers to a condition like y(0) = 5, which requires finding a constant C such that -cosx + C equals 5. It is defined as a condition where y(xg) = yo.

Effects

initial condition influences the behavior of the logistic map's iterative process. The deceptively simple function's resulting dynamics depend on the value of r and the initial condition.

Examples

initial condition Looking for a function y that satisfies the differential equation dy/dx = 6x and the initial condition y(0) = 5 exemplifies an initial-value problem.