## anonymous 5 years ago Solve the following Initial Value Theorem: dy/dt = sec^2(t) - sin(t), y(pi/4) = 1

The solution to the equation is: $y(t) = c + \cos(t) + \tan(t)$ Replace each t with Pi/4. The function value y(Pi/4) is one. $1=c+\cos{\pi \over 4} +\tan{\pi \over 4}$ Solve for c and replace it's value in the original solution. $y(t)= -\frac{1}{\sqrt{2}}+\cos(t)+\tan(t)$