Chapter 7.1, Problem 11QR

To determine

To find the constant $C$ .

Answer to Problem 11QR

The value of constant $C$ is $3$ .

Explanation of Solution

Given information:

It is given that

  $y=e^{2x}+\sec x+C\text{ and }y=5\text{ when }x=0$

Calculation:

The function is

  $y=e^{2x}+\sec x+C$

Now putting, $y=5\text{ and }x=0$ in $y=e^{2x}+\sec x+C$

  $\begin{array}{l}y=e^{2x}+\sec x+C\\ 5=e^0+\sec 0+C\\ \text{5=1+1+C}\\ C=5-2\\ C=3\end{array}$

Therefore , the value of constant $C$ is $3$ .