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MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

13. If y=3cos⁡(log⁡x)+4sin⁡(log⁡x)y=3 \cos (\log x)+4 \sin (\log x), show that x2y2+xy1+y=0x^{2} y_{2}+x y_{1}+y=0

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