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Work through the suggested steps to solve the initial value problem ODE sec z y2...

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Calculus

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Work through the suggested steps to solve the initial value problem ODE sec z y2 cos z y 0 2 IC y 0 3 3 a Separating variables and integrating leads to 9 1 dy f 2 dz where g y and f x Note Choose functions f and g for which f 0 1 You can arrange this if necessary by multiplying both sides of whatever integral identity you derive b a well chosen constant 813 b Evaluating the integrals above gives G y F x R where R is an arbitrary constant formed by combining the constants for the indefinite integrals G y g u dy and F x f x dx c The solution to the given initial value problem is

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