math 2200 sample exam
= \tan x \, dx \] Integrate both sides: \[ \int \frac{1}{y} \, dy = \int \tan x \, dx \] \[ \ln |y| = -\ln |\cos x| + C \] Exponentiate: \[ |y| = e^{C} \cdot \frac{1}{|\cos x|} = K \sec x \] Apply initial condition \( y(0) = 1 \): \[ 1 = K \sec 0