In Exercises 47 and 48, use a Taylor series to find the
Chapter 16, Problem 47(choose chapter or problem)
Approximation by Taylor Series In Exercises 47 and 48, use a Taylor series to find the first n terms of the series solution of the differential equation under the specified initial conditions. Use this polynomial to approximate y for the given value of x.
\(y^{\prime \prime}+y^{\prime}-e^{x} y=0, y(0)=2, y^{\prime}(0)=0, n=4, x=\frac{1}{4}\)
Text Transcription:
y’’+y’-e^x y=0, y(0)=2, y’(0)=0, n=4, x=1/4
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