Exercise · ZW-INITIAL-VALUE-PROBLEM-003 · ★☆☆ Basic
The general solution of \(y'=-y\) is \(y=Ce^{-x}\). If \(y(0)=4\), what is \(C\)?
Choose one option.
Show answer
- C. 4
Explanation
Since \(e^{0}=1\), \(y(0)=C=4\).
Review the concept: Initial value problem
An initial value problem asks for the solution of a differential equation that, in addition, takes given values at a given point.
\[y'=f(x,y),\qquad y(x_0)=y_0\]
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