[Solution] For which values of A and B is the equation y=(x^4)/(4)+A cos x+B a solution of the initial value problem y'=x^3-2 sin x,
Question: For which values of A and B is the equation
\[y=\frac{{{x}^{4}}}{4}+A\cos x+B\]a solution of the initial value problem \(y'={{x}^{3}}-2\sin x,\,\,y\left( 0 \right)=3\)
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