JCT J New IMH ( zM E PE G NzcxMjl5MzM1/m/MjU1Njg1MTIxMjc2/details News Sy Symbolab Math Sol... Factors Affecting W... 6 Microsoft Word - N... IMH Inv Translate PB COMPILATION SOLVING SIMULTANEOUS DIFFERENTIAL EQUATIONS 1. Semester 2015/2016 (III) : Q4 Consider the following simultaneous differential equations dx x-3y-6e' dt dy =x+5y dt with initial conditions x(0)=1 and y(0)=0. (i) Use the Laplace transforms to show that s-7 Y(s)=- (s-1)(s-2)(s-4) where Y(s)= L{r(1)}- (1i) Determine x(1) and y(r). Answer:

JCT J New IMH ( zM E PE G NzcxMjl5MzM1/m/MjU1Njg1MTIxMjc2/details News Sy Symbolab Math Sol... Factors Affecting W... 6 Microsoft Word - N... IMH Inv Translate PB COMPILATION SOLVING SIMULTANEOUS DIFFERENTIAL EQUATIONS 1. Semester 2015/2016 (III) : Q4 Consider the following simultaneous differential equations dx x-3y-6e' dt dy =x+5y dt with initial conditions x(0)=1 and y(0)=0. (i) Use the Laplace transforms to show that s-7 Y(s)=- (s-1)(s-2)(s-4) where Y(s)= L{r(1)}- (1i) Determine x(1) and y(r). Answer:

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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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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m
JCT J
New
IMH (
zM E PEI
G
NzcxMjl5MzM1/m/MjU1Njg1MTIxMjc2/details
News
Sy Symbolab Math Sol...
Factors Affecting W...
O Microsoft Word N...
IMH Inv
Translate
PB
COMPILATION SOLVING SIMULTANEOUS DIFFERENTIAL EQUATIONS
1.
Semester 2015/2016 (III) : Q4
Consider the following simultaneous differential equations
dx x-3y-6e"
dt
dy
=x+5y
dt
with initial conditions x(0)=1 and y(0)=0.
(i)
Use the Laplace transforms to show that
S-7
Y(s)=-
(s-1)(s-2)(s-4)
where Y(s)= L{r(1)}-
(1i)
Determine x(1) and r(r).
Answer:

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