Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Solve the following differential equation! dy dx 2x³ = e3x

Solve the following differential equation! dy dx 2x³ = e3x

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
See similar textbooks
icon
Related questions
Question
Solve the following differential equation: dy - 2x³ = e³x dx
Transcribed Image Text:Solve the following differential equation: dy - 2x³ = e³x dx
Homogeneous second order linear differential equations: a Auxiliary equation: am² + bm + c = 0 a) y Aemix+ Bem₂x b) y = (Ax+ B)emix c) y = ex (A cos m₂x + B sin m₂x) The three main types of Partial Fraction Linear Factors Denominator Containing Repeated Linear Factors Quadratic Factors Expression f(x) (x+a)(x-b)(x+c) f(x) (x + a)³ f(x) (ax² +bx+c)(x+d) The Laplace Transform of derivatives L = s£{y}-y(0) {²} = s² {y} - sy(0) - y'(0) dx + cy=0 Form of Partial Fraction + b² > 4ac b² = 4ac b² < 4ac A B с (x+a) (x-b) (x+c) + A B C (x+a) (x+a)² (x+a)³ + + + Ax+ B C (ax²+bx+c) (x+d)
Transcribed Image Text:Homogeneous second order linear differential equations: a Auxiliary equation: am² + bm + c = 0 a) y Aemix+ Bem₂x b) y = (Ax+ B)emix c) y = ex (A cos m₂x + B sin m₂x) The three main types of Partial Fraction Linear Factors Denominator Containing Repeated Linear Factors Quadratic Factors Expression f(x) (x+a)(x-b)(x+c) f(x) (x + a)³ f(x) (ax² +bx+c)(x+d) The Laplace Transform of derivatives L = s£{y}-y(0) {²} = s² {y} - sy(0) - y'(0) dx + cy=0 Form of Partial Fraction + b² > 4ac b² = 4ac b² < 4ac A B с (x+a) (x-b) (x+c) + A B C (x+a) (x+a)² (x+a)³ + + + Ax+ B C (ax²+bx+c) (x+d)
Expert Solution
steps

Step by step

Solved in 3 steps with 8 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS