Mathematics, 20.07.2019 02:10 224509
Solve 5y'' + 3y' – 2y = 0, y(0) = 0, y'(0) = 2.8 y(t) = 0 preview
Answers: 1
be an auxiliary solution of equation (i).
![5m^2e^{mt}+3me^{mt}-2e^{mt}=0\\\\\Rightarrow (5m^2+3y-2)e^{mt}=0\\\\\Rightarrow 5m^2+3m-2=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow 5m^2+5m-2m-2=0\\\\\Rightarrow 5m(m+1)-2(m+1)=0\\\\\Rightarrow (m+1)(5m-1)=0\\\\\Rightarrow m+1=0,~~~~~5m-1=0\\\\\Rightarrow m=-1,~\dfrac{1}{5}.](/tpl/images/0110/0387/f3de3.png)
![y^\prime(0)=2.8\\\\\Rightarrow -A+\dfrac{B}{5}=2.8\\\\\Rightarrow -5A+B=14\\\\\Rightarrow -5A-A=14~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Uisng equation (ii)}]\\\\\Rightarrow -6A=14\\\\\Rightarrow A=-\dfrac{14}{6}\\\\\Rightarrow A=-\dfrac{7}{3}.](/tpl/images/0110/0387/010a0.png)
Another question on Mathematics
Mathematics, 21.06.2019 16:00
Apatient is to take 60 mg of an antibiotic on day 1, take 45mg on days 2 and 3, take 30mg on days 4 and 5 and take 15 mg on days 6 and 7. how many total mg will the patient take?
Answers: 1
Mathematics, 21.06.2019 16:30
When only separate discreet points are graphed it is called?
Answers: 3
Mathematics, 21.06.2019 17:40
Follow these steps using the algebra tiles to solve the equation −5x + (−2) = −2x + 4. 1. add 5 positive x-tiles to both sides and create zero pairs. 2. add 4 negative unit tiles to both sides and create zero pairs. 3. divide the unit tiles evenly among the x-tiles. x =
Answers: 2
Mathematics, 21.06.2019 22:00
Write an inequality for this description. - one fourth of the opposite of the difference of five and a number is less than twenty.
Answers: 1
You know the right answer?
Solve 5y'' + 3y' – 2y = 0, y(0) = 0, y'(0) = 2.8 y(t) = 0 preview...
Questions
Computers and Technology, 17.10.2020 22:01
Mathematics, 17.10.2020 22:01
History, 17.10.2020 22:01
Mathematics, 17.10.2020 22:01
Biology, 17.10.2020 22:01
Mathematics, 17.10.2020 22:01
Mathematics, 17.10.2020 22:01
History, 17.10.2020 22:01
Mathematics, 17.10.2020 22:01
