Exercise · ZW-INITIAL-VALUE-PROBLEM-002 · ★☆☆ Basic
Solve \(y'=2x,\ y(0)=5\).
Choose one option.
Show answer
- A. \(y=x^2+5\)
Explanation
Integrating, \(y=x^2+C\); the condition \(y(0)=5\) gives \(C=5\).
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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