Let and satisfy the system and

MATHEMATICS · Subjective · CBSE · Mathematics · Differential Equations · Differential Equations

Problem

Let

u(t)

and

v(t)

satisfy the system

\dfrac{du}{dt}=-5v

and

\dfrac{dv}{dt}=5u

. Derive a second-order differential equation that involves

u

only (eliminate

v

).

Related theory

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