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d (g) at dt (fx g) = df dt xg+fx dg dt

d (g) at dt (fx g) = df dt xg+fx dg dt

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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段階的に解決し、 人工知能を使用せず、 優れた仕事を行います ご支援ありがとうございました SOLVE STEP BY STEP IN DIGITAL FORMAT DONT USE CHATGPT 17. Prove Theorem 1.20(g). Theorem 1.20. Let f(t) and g(t) be differentiable vector-valued functions, let u(t) be a differentiable scalar function, let k be a scalar, and let c be a constant vector. Then (a) O d dt d dt d dt (f) -(c) = 0 (d) -(f-g) = dt d dt d dt d dt (kf)=k- (f+g) = (f.g) = df dt df dg + dt (fx g) dt du -(uf) = f+u dt df = df dt dt dg dt df dt df dt g+f. dg dt xg+fx dg dt
Transcribed Image Text:段階的に解決し、 人工知能を使用せず、 優れた仕事を行います ご支援ありがとうございました SOLVE STEP BY STEP IN DIGITAL FORMAT DONT USE CHATGPT 17. Prove Theorem 1.20(g). Theorem 1.20. Let f(t) and g(t) be differentiable vector-valued functions, let u(t) be a differentiable scalar function, let k be a scalar, and let c be a constant vector. Then (a) O d dt d dt d dt (f) -(c) = 0 (d) -(f-g) = dt d dt d dt d dt (kf)=k- (f+g) = (f.g) = df dt df dg + dt (fx g) dt du -(uf) = f+u dt df = df dt dt dg dt df dt df dt g+f. dg dt xg+fx dg dt
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