## Related questions with answers

Question

In this exercise, let a, b, r be constants. Show that

$y=C e^{-k t}+a+b k\left(\frac{k \sin r t-r \cos r t}{k^2+r^2}\right)$

is a general solution of

$\frac{d y}{d t}=-k(y-a-b \sin r t)$

Solution

VerifiedStep 1

1 of 7We are given the equation:

$\dfrac{dy}{dt}=-k\left(y-a-b\sin rt\right)$

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