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1. Consider the initial value problem (IVP) y' = ey+cos x, y(0)=0. The power series solution of the IVP is given by y(x) =

1. Consider the initial value problem (IVP) [ y^{prime}=e^{y}+cos x, quad y(0)=0 ] The power series solution of the IVP 

1. Consider the initial value problem (IVP) y' = ey+cos x, y(0)=0. The power series solution of the IVP is given by y(x) = ax + ax + a3x + ... a3. Use the method of direct substitution to determine the values of a1, a2, and

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