$$y^{\prime \prime}+\sin y=0 ; \quad y(0)=1, \quad y^{\prime}(0)=0$$

Answer

$$
y(x)=1-\frac{\sin (1) x^{2}}{2}+\frac{\cos (1) \sin (1) x^{4}}{24}
$$

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Calculus 1 / AB

Fundamentals of Differential Equations

Chapter 8

Series Solutions of Differential Equations

Section 1

Introduction: The Taylor Polynomial Approximation

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Video Transcript

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