Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
I. MATH( a. ASSUME the Differential Equation Let K, Q Rand fbe constants! d²x Also assume that i = V-1. (KQ\ dt2 R3 i. Show how/why the following trigonometric expression IS or IS NOT a solution: KQ x = x,cos R3 1. (does the cosine expression 'satisfy'the differential equation?) 2. (why/how or why/how not?) ii. Showhow/why the following exponential expression IS or IS NOT a solution: KQ R3 t+ X = Xoel 1. (does the exponential expression 'satisfy' the differential equation?) 2. (why/how or why/how not?)

I. MATH( a. ASSUME the Differential Equation Let K, Q Rand fbe constants! d²x Also assume that i = V-1. (KQ\ dt2 R3 i. Show how/why the following trigonometric expression IS or IS NOT a solution: KQ x = x,cos R3 1. (does the cosine expression 'satisfy'the differential equation?) 2. (why/how or why/how not?) ii. Showhow/why the following exponential expression IS or IS NOT a solution: KQ R3 t+ X = Xoel 1. (does the exponential expression 'satisfy' the differential equation?) 2. (why/how or why/how not?)

icon
Related questions
Question
100%
Please help me with this Homework ! Please show ALL the work! And please breakup everything into steps! And please make a DIAGRAM! Thanks so much!
I. MATH( ASSUME the Differential Equation Let K, Q. Rand ibe constants! a. d²x Also assume that i = V-1. (KQ' dt2 i. Show how/why the following trigonometric expression IS or IS NOT a solution: x= x,cos 1. (does the cosine expression 'satisfy'the differential equation?) 2. (why/how or why/how not?) ii. Show how/why the following exponential expression IS or IS NOT a solution: t+ X = Xoel 1. (does the exponential expression 'satisfy'the differential equation?) 2. (why/how or why/how not?) b. Show how/why the following trigonometric expression IS or IS NOT a HARMONIC OSCILLATOR t+ X = 1. (does the cosine expression 'satisfy'the differential equation for harmonic oscillation?) 2. (if not, why not? If so, determine its PERIOD and express it in terms of given constants.)
Transcribed Image Text:I. MATH( ASSUME the Differential Equation Let K, Q. Rand ibe constants! a. d²x Also assume that i = V-1. (KQ' dt2 i. Show how/why the following trigonometric expression IS or IS NOT a solution: x= x,cos 1. (does the cosine expression 'satisfy'the differential equation?) 2. (why/how or why/how not?) ii. Show how/why the following exponential expression IS or IS NOT a solution: t+ X = Xoel 1. (does the exponential expression 'satisfy'the differential equation?) 2. (why/how or why/how not?) b. Show how/why the following trigonometric expression IS or IS NOT a HARMONIC OSCILLATOR t+ X = 1. (does the cosine expression 'satisfy'the differential equation for harmonic oscillation?) 2. (if not, why not? If so, determine its PERIOD and express it in terms of given constants.)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer