Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
y = C1 cos 3x + c2 sin 3x => y" + 9y = 9

y = C1 cos 3x + c2 sin 3x => y" + 9y = 9

Elementary Algebra
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 498E: If y varies inversely with x and y=11 when x=3 find the equation that relates x and y.
See similar textbooks
icon
Related questions
Question
NOTE: PLEASE ANSWER PART 2 ONLY
PT 2 Directions: Determine whether the given first expression is the solution of the succeeding given ODE. 1. y = c1e²x + c2e-3x => y"+y'-6y=0 2. y c1 cos 3x + c2 sin 3x => y" +9y = 9 3. y = C₁x² + C₂x³ => x²y" - 4xy' + 6y = 0 4. y = C₁ex + c₂e²x + c3e³x => y" - 6y" + 11y' - 6y=0 5. y = C₁ cos (21nx) + c2 sin (21n x) => x²y"+ xy' + 4y = 0
Transcribed Image Text:PT 2 Directions: Determine whether the given first expression is the solution of the succeeding given ODE. 1. y = c1e²x + c2e-3x => y"+y'-6y=0 2. y c1 cos 3x + c2 sin 3x => y" +9y = 9 3. y = C₁x² + C₂x³ => x²y" - 4xy' + 6y = 0 4. y = C₁ex + c₂e²x + c3e³x => y" - 6y" + 11y' - 6y=0 5. y = C₁ cos (21nx) + c2 sin (21n x) => x²y"+ xy' + 4y = 0
Directions: In each of the following problems, assume a, b, c and d are arbitrary constants, determine the equivalent ODE by eliminating the arbitrary constants. 1. y = aex + be³x 2. y = ae²x + be4x 3. x² + axy + bx + c = 0 4. y = aebx 5. ya sin (x + b) 6. y=xsin (x + c) 7. y = ae2x + be³x + x²
Transcribed Image Text:Directions: In each of the following problems, assume a, b, c and d are arbitrary constants, determine the equivalent ODE by eliminating the arbitrary constants. 1. y = aex + be³x 2. y = ae²x + be4x 3. x² + axy + bx + c = 0 4. y = aebx 5. ya sin (x + b) 6. y=xsin (x + c) 7. y = ae2x + be³x + x²
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer