Get answer: In each of 1-7 find the general solution of the given differential equation

Chapter 1, Problem 1

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QUESTION:

In each of Problem find the general solution of the given differential equation.

\(\frac{d y}{d t}+y \cos t=0\)

Questions & Answers

QUESTION:

In each of Problem find the general solution of the given differential equation.

\(\frac{d y}{d t}+y \cos t=0\)

ANSWER:

Step 1 of 3

The given equation is \(\frac{d y}{d t}+y \cos t=0\), solve by separating the variables as shown below:

\(\begin{array}{l}
\frac{d y}{d t}+y \cos t=0 \\
\frac{d y}{d t}=-y \cos t \\
\frac{d y}{y}=-\cos t d t
\end{array}\)

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