QuestionFind the particular solution of the differential equatio $$\begin{array}{l} f^{\prime \prime}(x)=\sin (x), \quad f^{\prime}(0)=6, \quad f(0)=2 \\ f(x)={ }^{N} \end{array}$$

Studdy Solution
Write the final particular solution using the constants found.
$$f(x) = -\sin(x) + 7x + 2$$
Therefore, the particular solution of the differential equation is:
$$f(x) = -\sin(x) + 7x + 2$$