1. Verify that dF dt F.G(t) + F(t).. dG dt for the following functions F(t) = (2t)i−5j+(t²)k and G(t) = (sint)i + (e')j. d[F(t)- G(t)] = dt
1. Verify that dF dt F.G(t) + F(t).. dG dt for the following functions F(t) = (2t)i−5j+(t²)k and G(t) = (sint)i + (e')j. d[F(t)- G(t)] = dt
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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Question
Q1.1
1-17/18
![1. Verify that
[F(1) · G(1)] =
dF
dt
dt
·G(t) + F(t).dG
dt
for the following functions F(t) = (2t)i −5j+(t²)k and G(t) = (sint)i + (e')j.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f5865b5-d389-47d9-88bb-07a7dc29f1b7%2F5080c5d3-9859-4088-ba02-fc29d842702f%2F6m4wvmp_processed.png&w=3840&q=75)
Transcribed Image Text:1. Verify that
[F(1) · G(1)] =
dF
dt
dt
·G(t) + F(t).dG
dt
for the following functions F(t) = (2t)i −5j+(t²)k and G(t) = (sint)i + (e')j.
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