A differential equation A differential equation is an equation involving an unknown function and its derivatives. Consider the differential equation y″(t) + y(t) = 0 (see Chapter 8).
a. Show that y = A sin t satisfies the equation for any constant A.
b. Show that y = B cos t satisfies the equation for any constant B.
c. Show that y = A sin t + B cos t satisfies the equation for any constants A and B.
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