Work through the suggested steps to solve the initialvalue problem (ODE) cos(:c)'y*4 sec(m)y' = 0, g

Work through the suggested steps to solve the initial-value problem (ODE) 4 cos(c)y sec y(0) 51/5 2' 2 (a) Separating variables and integrating leads to g(y) dy f(c) e, where g(y) (5/2(y + 1/2sin(2y)) + and Note: Choose functions f and g for which f(O) 1. You can arrange this, if necessary, by multiplying both sides of whatever integral identity you derive by a well-chosen constant. (b) Evaluating the integrals above gives G(y) = F@) + R, where R is an arbitrary constant formed by combining the constants for the indefinite integrals and (c) The solution to the given initial-value problem is y