null
US
Sign In
Sign Up for Free
Sign Up
We have detected that Javascript is not enabled in your browser. The dynamic nature of our site means that Javascript must be enabled to function properly. Please read our
terms and conditions
for more information.
Next up
Copy and Edit
You need to log in to complete this action!
Register for Free
2542261
FP3 differential equations
Description
First order linear Second order linear Solving through substitution
No tags specified
fp3
maths
further maths
a level
Quiz by
Joseph Stevens
, updated more than 1 year ago
More
Less
Created by
Joseph Stevens
over 9 years ago
19
1
0
Resource summary
Question 1
Question
Find the integrating factor for which
Image:
b0208d29-4130-41b2-8761-01e54672517d (image/png)
Answer
sin x
cot x
cosec^2 x
ln|cot x|
Question 2
Question
Hense solve.
Image:
42fe3e90-2fd8-42cd-8403-59c379226c49 (image/png)
Answer
y= cos x + cot x ln|sinx| + c
y = tan x + ln|cot x|
y = cosec x + cot x ln|cot(x/2)|+ c
y=sin x - tan x ln|tan(x/2)| + c
Question 3
Question
Find the complimentry function of the following differential equation.
Image:
bb2e67b9-4c65-4331-8b68-21e21603c0de (image/png)
Answer
y=e^-2x (Acos √3x + Bsin √3x)
y= Ae^2x +Bie^3x
y= Ae^√3ix + Bcos 2x
y= e^4x +A
Question 4
Question
Find the particular integral.
Image:
138e1b4e-6eb8-42cd-a4a4-bc85f3610e4e (image/png)
Answer
y= 4e^-x + 6sin x + 4cos x
y= e^-2x (Acos √3x + Bsin √3x)
y=(3/4)e^-x + (6/5) sin x - (4/5) cos x
y = e^x + 4sin x + 7cos x
Show full summary
Hide full summary
Want to create your own
Quizzes
for
free
with GoConqr?
Learn more
.
Similar
FREQUENCY TABLES: MODE, MEDIAN AND MEAN
Elliot O'Leary
HISTOGRAMS
Elliot O'Leary
CUMULATIVE FREQUENCY DIAGRAMS
Elliot O'Leary
Maths GCSE - What to revise!
livvy_hurrell
GCSE Maths Symbols, Equations & Formulae
livvy_hurrell
STEM AND LEAF DIAGRAMS
Elliot O'Leary
TYPES OF DATA
Elliot O'Leary
Fractions and percentages
Bob Read
GCSE Maths Symbols, Equations & Formulae
Andrea Leyden
GCSE Maths: Understanding Pythagoras' Theorem
Micheal Heffernan
Using GoConqr to study Maths
Sarah Egan
Browse Library