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MATH 309 differential equations, Assignments of Differential Equations and Transforms

University of Washington (UW) - SeattleDifferential Equations and Transforms

DIFFERENTIAL EQUATIONS PRACTICE WORKSHEET

Typology: Assignments

2019/2020

Uploaded on 11/19/2022

celia-pay
celia-pay 🇺🇸

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Worksheet 1
Silvia Ghinassi
1. Find y(1), y(2), and y(3) using Euler’s method with h= 1 for
⇢y0=y2
yt
y(0) = 1
2. Draw the slope field of the following ODE:
y0=y
3. Solve the separable equation
ty0=y2
1
y101 41012 4101.0 1
yl.tn y4ohtylo1 syCi7 1t1
2ykD
yCD2 yci1 l422yl2 y'll style 21 24
Y121 41272 Yu 116 48
YC37 4421 Ltg21 8412
ii edit
t
Illlll
tdyfet y
ytzdy f.de
ytzdy
ffdtty
lnltItc yet

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Worksheet 1

Silvia Ghinassi

  1. Find y(1), y(2), and y(3) using Euler’s method with h = 1 for

⇢ y 0 = y 2 yt

y(0) = 1

  1. Draw the slope field of the following ODE:

y

0 = y

  1. Solve the separable equation

ty

0 = y

2

y

(^101 )

1

yl.tn y4o

htylo1 syCi^

1t

2ykD

yCD yci

l 4 2

2yl

y'll style

(^21 2 )

Y

(^121 )

Yu

(^1 16 ) 8

YC

(^37 )

Ltg

21 8 (^4 )

ii

edit

t

I l^

l l^ l^

l

tdyfet

y

ytzdy f.de

ytzdy

ffdttylnltItc yet