initial

1. Matlab Plotting Euler Iteration Against Exact Solution how to Set Initial Condition

Hi I have the following code to plot an approximation using Euler's iteration against the exact value of the function. I have used x and y for time and population when coding the Euler iterations and t and m for time and population when plotting the exact function. I can't work out how to...
2. form differential equation ( initial condition given)

x(x +y ) dy/dx = y^2 , initial condition = y(1) =2 , but my ans is different...
3. Boundary and initial value

Working on some review my teacher posted and I can't seem to figure out where she got w(0) = -0.1 from. Thank you
4. Initial Value Problem

I am having trouble figuring out how to approach this problem. I have done others like it but none of them featured a term separate from another. For example, they were mostly along the lines of (x-1)^3 or 2x+1. If someone could tell me how to proceed I would appreciate it. \frac{dy}{dx} =...
5. Wolfram Mathematica truncates initial 0:s

I'm trying to convert a list with numbers into a string with binary values. In[168]:= x={10, 10}; IntegerString[x,2] z=StringJoin[IntegerString[x,2]] Out[169]= {1010,1010} Out[170]= 10101010 The desired result would be: Out[169]= {0001010, 0001010} Out[170]= 00010100001010
6. Qubeks logic game - is it solvable with random initial state?

Hi, I've been making a new logic game for the last few months - a 3D puzzle game called QUBEKS. You can find more details about it on the web page www.qubeks.com and you can play the 2D game in the user area, but I will also try to explain the game concept here. Imagine a cube with six faces...
7. Solving a Symbolic Initial Value Problem

I'm having some difficulty in understanding how to take the inverse Laplace transform of (e^as / something) in solving a Dirac-Delta problem. Since typing out my work here would be very error prone and slow, please see the image at Click This for the question and my work. I know that I have to...
8. initial value problem by using Laplace

need help :/ thanks
9. Help solving 2nd order, initial value problem

Hi, I have an initial value problem to solve for a second order differential equation. Currently in my class, we have learned undetermined coefficients, characteristic equations, variation of parameters The questions is: Solve the initial value problem: y'' + y = x y(0)=1, y'(0)=1 Okay...
10. Finding the solution to differential equations that satisfies the initial condition.

dP/dt=8sqrt{pt}, P(1)=6 This is my working and i prove that it does satisfy the initial condition but apparently i am still incorrect: dP/sqrt{p}=8sqrt{t}dt Integrating both sides we get: 2sqrt{p}= (16t^3/2)/3 + C Using P(1)=6: 2sqrt{6}= (16(1)^3/2)/3 + C C= 2sqrt{6} -16/3 Substituting...
11. Initial Value Problem and general theory explanation

Hey guys, Could someone please help me out on this question? I'm not really sure what it means by general theory. Is it because cos(pi/2) = 1, then a solution to dy/dx exists because dy/dx =1/(2*(pi/2)*(1+2))? I wouldn't mind some help with solving the ODE either. Thanks in...
12. Solve the equation for the harmonic oscillator given initial conditions

Hi, I have a question I have been trying to get out, and I'm not having much luck by myself. I'm sure I have solved equations like this in the past, although I cannot find my notes anywhere to help. I have attached a screenshot of the questions, but it says to solve the equation for the...
13. Matrix Initial Value Problem

Hi, I'm stuck on solving this problem... Consider the initial value problem Determine the solution as a function of . So this is what I did so far Sorry I dont know how to type matrix on this.... | 3.5 -0.75| * |x1| |3 -1.5| |x2| |3.5-λ -0.75| |3...
14. Finding General Solution and Initial Value Problem for Differential equation

Hi, I have the equation y''+100y = 0.5cos(10t) and I have to find the general solution and the IVP. For the general solution I made the y's into s's and figured out s^2 + 100 = 0 so S 1 & 2 = 0 +/- 10i From here I found the y-homogeneous part = k1(cos(10t))+k2(sin(10t)) so y-particular =...
15. Finding the solution to the initial value problem

The equation is y"+8y'+25y=0 with y(0)= 2 & y'(0)=0 I calculated the general solution and figured out the motion is Underdamped. I can't seem to figure out the solution to the initial value problem. I found S1 and S2 to be equal -4 +/- 3i ad the Ygen = (k1)^(-4t)cost(t) + i(k2)e^(-4t)sin(t)
16. Separating variables and initial condition?

I have this question: I'm not sure why the fourth option isn't showing up but hopefully it's not needed. When I separated the variables I got 2x^2=arcsint+C and when I solved for C I got the C=8. Is this right? It gave me option two, but I'm just not sure. :/ Thanks!
17. How to solve a a differential equation with initial conditions?

I'm having trouble with this: Is my answer right? If not, which one works? :/
18. Need help with differential equations that have initial conditions?

I'm starting to work with differential equations and I'm having trouble with them when they have initial conditions. For these two: Did I solve them correctly even with the conditions? I don't think I did but I tried :/ What might I have done wrong? (For the second one I chose the 3rd option but...
19. initial value problem

\frac{dy}{dt} = (1-t)(y+2) ; y(-1) = -3 I used separation of variables \int \frac{1}{y+2}dy = \int (1-t)dt I restrict values to positive values so I don't have to mess with absolute value ln (y+2) = t - \frac{1}{2}t^2 +c_{1} using exponential y = Ce^{t - \frac{1}{2}t^2} - 2 solving for C...
20. initial topology with respect to norm

Hello, Suppose (X,\|.\|) is a normed vector space. Let (X,\mathcal{T}) be the initial topology with respect to \|.\|: X \rightarrow [0,\infty). Then the topology induced by the norm is not equal to \mathcal{T}. I've been thinking about this for some time now but I'm having real trouble proving...