FP3 differential equations

Description

First order linear Second order linear Solving through substitution
Joseph Stevens
Quiz by Joseph Stevens, updated more than 1 year ago
Joseph Stevens
Created by Joseph Stevens about 9 years ago
14
1

Resource summary

Question 1

Question
Find the integrating factor for which
Answer
  • sin x
  • cot x
  • cosec^2 x
  • ln|cot x|

Question 2

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.
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.
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
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