Graphical and Analytic Analysis In Exercises 15 and 16, (a) sketch an approximate

Chapter 16, Problem 15

(choose chapter or problem)

Graphical and Analytic Analysis In Exercises 15 and 16, (a) sketch an approximate solution of the differential equation satisfying the initial condition on the slope field, (b) find the particular solution that satisfies the initial condition, and (c) use a graphing utility to graph the particular solution. Compare the graph with the sketch in part (a).

Differential Equation                                                              Initial Condition

\((2 x \tan y+5) d x+\left(x^{2} \sec ^{2} y\right) d y=0 \quad\left(\frac{1}{2}, \frac{\pi}{4}\right)\)

Text Transcription:

(2x tan y+5)dx + (x^2 sec^2 y)dy=0 (1/2, pi/4)